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Finding the Fourth Proportional to 83,695.78, 125,543.67 and 31,118.50

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Solution

The fourth proportional to 83,695.78, 125,543.67 and 31,118.50 is: 46,677.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,695.78 : 125,543.67 = 31,118.50 : x
  2. Step 2: Convert to fraction form
    83,695.78/125,543.67 = 31,118.50/x
  3. Step 3: Cross multiply
    83,695.78x = 125,543.67 × 31,118.50
  4. Step 4: Simplify right side
    83,695.78x = 3,906,730,694.90
  5. Step 5: Solve for x
    x = 3,906,730,694.90/83,695.78
  6. Step 6: Final answer
    x = 46,677.75

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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.