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Finding the Fourth Proportional to 51,542.20, 71,129.03 and 31,399.93

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Solution

The fourth proportional to 51,542.20, 71,129.03 and 31,399.93 is: 43,332.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,542.20 : 71,129.03 = 31,399.93 : x
  2. Step 2: Convert to fraction form
    51,542.20/71,129.03 = 31,399.93/x
  3. Step 3: Cross multiply
    51,542.20x = 71,129.03 × 31,399.93
  4. Step 4: Simplify right side
    51,542.20x = 2,233,446,562.97
  5. Step 5: Solve for x
    x = 2,233,446,562.97/51,542.20
  6. Step 6: Final answer
    x = 43,332.39

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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.