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Finding the Fourth Proportional to 109,350,040.80, 164,048,680.80 and 32,680,819.20

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Solution

The fourth proportional to 109,350,040.80, 164,048,680.80 and 32,680,819.20 is: 49,028,287.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,350,040.80 : 164,048,680.80 = 32,680,819.20 : x
  2. Step 2: Convert to fraction form
    109,350,040.80/164,048,680.80 = 32,680,819.20/x
  3. Step 3: Cross multiply
    109,350,040.80x = 164,048,680.80 × 32,680,819.20
  4. Step 4: Simplify right side
    109,350,040.80x = 5,361,245,277,223,312
  5. Step 5: Solve for x
    x = 5,361,245,277,223,312/109,350,040.80
  6. Step 6: Final answer
    x = 49,028,287.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.