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Finding the Fourth Proportional to 83,542.49, 125,346.56 and 36,762.56

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Solution

The fourth proportional to 83,542.49, 125,346.56 and 36,762.56 is: 55,158.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,542.49 : 125,346.56 = 36,762.56 : x
  2. Step 2: Convert to fraction form
    83,542.49/125,346.56 = 36,762.56/x
  3. Step 3: Cross multiply
    83,542.49x = 125,346.56 × 36,762.56
  4. Step 4: Simplify right side
    83,542.49x = 4,608,060,838.07
  5. Step 5: Solve for x
    x = 4,608,060,838.07/83,542.49
  6. Step 6: Final answer
    x = 55,158.29

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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.