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Finding the Fourth Proportional to 71,966.40, 107,917.20 and 32,503.20

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Solution

The fourth proportional to 71,966.40, 107,917.20 and 32,503.20 is: 48,740.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,966.40 : 107,917.20 = 32,503.20 : x
  2. Step 2: Convert to fraction form
    71,966.40/107,917.20 = 32,503.20/x
  3. Step 3: Cross multiply
    71,966.40x = 107,917.20 × 32,503.20
  4. Step 4: Simplify right side
    71,966.40x = 3,507,654,335.04
  5. Step 5: Solve for x
    x = 3,507,654,335.04/71,966.40
  6. Step 6: Final answer
    x = 48,740.17

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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.