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Finding the Fourth Proportional to 83,478.87, 125,259.41 and 39,097.96

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Solution

The fourth proportional to 83,478.87, 125,259.41 and 39,097.96 is: 58,666.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,478.87 : 125,259.41 = 39,097.96 : x
  2. Step 2: Convert to fraction form
    83,478.87/125,259.41 = 39,097.96/x
  3. Step 3: Cross multiply
    83,478.87x = 125,259.41 × 39,097.96
  4. Step 4: Simplify right side
    83,478.87x = 4,897,387,186.40
  5. Step 5: Solve for x
    x = 4,897,387,186.40/83,478.87
  6. Step 6: Final answer
    x = 58,666.19

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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.