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Finding the Fourth Proportional to 83,876.96, 125,634 and 39,437.12

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Solution

The fourth proportional to 83,876.96, 125,634 and 39,437.12 is: 59,070.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,876.96 : 125,634 = 39,437.12 : x
  2. Step 2: Convert to fraction form
    83,876.96/125,634 = 39,437.12/x
  3. Step 3: Cross multiply
    83,876.96x = 125,634 × 39,437.12
  4. Step 4: Simplify right side
    83,876.96x = 4,954,643,134.08
  5. Step 5: Solve for x
    x = 4,954,643,134.08/83,876.96
  6. Step 6: Final answer
    x = 59,070.37

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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.