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Finding the Fourth Proportional to 109,335.40, 164,079.90 and 47,050.60

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Solution

The fourth proportional to 109,335.40, 164,079.90 and 47,050.60 is: 70,608.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,335.40 : 164,079.90 = 47,050.60 : x
  2. Step 2: Convert to fraction form
    109,335.40/164,079.90 = 47,050.60/x
  3. Step 3: Cross multiply
    109,335.40x = 164,079.90 × 47,050.60
  4. Step 4: Simplify right side
    109,335.40x = 7,720,057,742.94
  5. Step 5: Solve for x
    x = 7,720,057,742.94/109,335.40
  6. Step 6: Final answer
    x = 70,608.95

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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.