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Finding the Fourth Proportional to 83,354.80, 115,039.92 and 62,097.16

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Solution

The fourth proportional to 83,354.80, 115,039.92 and 62,097.16 is: 85,701.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,354.80 : 115,039.92 = 62,097.16 : x
  2. Step 2: Convert to fraction form
    83,354.80/115,039.92 = 62,097.16/x
  3. Step 3: Cross multiply
    83,354.80x = 115,039.92 × 62,097.16
  4. Step 4: Simplify right side
    83,354.80x = 7,143,652,263.89
  5. Step 5: Solve for x
    x = 7,143,652,263.89/83,354.80
  6. Step 6: Final answer
    x = 85,701.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.