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Finding the Fourth Proportional to 77,201.40, 115,812.90 and 32,827.80

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Solution

The fourth proportional to 77,201.40, 115,812.90 and 32,827.80 is: 49,246.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,201.40 : 115,812.90 = 32,827.80 : x
  2. Step 2: Convert to fraction form
    77,201.40/115,812.90 = 32,827.80/x
  3. Step 3: Cross multiply
    77,201.40x = 115,812.90 × 32,827.80
  4. Step 4: Simplify right side
    77,201.40x = 3,801,882,718.62
  5. Step 5: Solve for x
    x = 3,801,882,718.62/77,201.40
  6. Step 6: Final answer
    x = 49,246.29

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1.5x scale

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.