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Finding the Fourth Proportional to 83,758.50, 125,666.88 and 39,419.10

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Solution

The fourth proportional to 83,758.50, 125,666.88 and 39,419.10 is: 59,142.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,758.50 : 125,666.88 = 39,419.10 : x
  2. Step 2: Convert to fraction form
    83,758.50/125,666.88 = 39,419.10/x
  3. Step 3: Cross multiply
    83,758.50x = 125,666.88 × 39,419.10
  4. Step 4: Simplify right side
    83,758.50x = 4,953,675,309.41
  5. Step 5: Solve for x
    x = 4,953,675,309.41/83,758.50
  6. Step 6: Final answer
    x = 59,142.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.