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Finding the Fourth Proportional to 83,494.56, 115,229.76 and 45,776

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Solution

The fourth proportional to 83,494.56, 115,229.76 and 45,776 is: 63,174.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,494.56 : 115,229.76 = 45,776 : x
  2. Step 2: Convert to fraction form
    83,494.56/115,229.76 = 45,776/x
  3. Step 3: Cross multiply
    83,494.56x = 115,229.76 × 45,776
  4. Step 4: Simplify right side
    83,494.56x = 5,274,757,493.76
  5. Step 5: Solve for x
    x = 5,274,757,493.76/83,494.56
  6. Step 6: Final answer
    x = 63,174.86

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