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Finding the Fourth Proportional to 82,542.66, 123,703.11 and 45,046.56

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Solution

The fourth proportional to 82,542.66, 123,703.11 and 45,046.56 is: 67,509.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,542.66 : 123,703.11 = 45,046.56 : x
  2. Step 2: Convert to fraction form
    82,542.66/123,703.11 = 45,046.56/x
  3. Step 3: Cross multiply
    82,542.66x = 123,703.11 × 45,046.56
  4. Step 4: Simplify right side
    82,542.66x = 5,572,399,566.80
  5. Step 5: Solve for x
    x = 5,572,399,566.80/82,542.66
  6. Step 6: Final answer
    x = 67,509.33

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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.