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Finding the Fourth Proportional to 87,642.18, 120,939.21 and 51,833.70

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Solution

The fourth proportional to 87,642.18, 120,939.21 and 51,833.70 is: 71,526.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,642.18 : 120,939.21 = 51,833.70 : x
  2. Step 2: Convert to fraction form
    87,642.18/120,939.21 = 51,833.70/x
  3. Step 3: Cross multiply
    87,642.18x = 120,939.21 × 51,833.70
  4. Step 4: Simplify right side
    87,642.18x = 6,268,726,729.38
  5. Step 5: Solve for x
    x = 6,268,726,729.38/87,642.18
  6. Step 6: Final answer
    x = 71,526.37

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Why These Related Problems?

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