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Finding the Fourth Proportional to 51,565.24, 71,138.80 and 31,414.80

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Solution

The fourth proportional to 51,565.24, 71,138.80 and 31,414.80 is: 43,339.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,565.24 : 71,138.80 = 31,414.80 : x
  2. Step 2: Convert to fraction form
    51,565.24/71,138.80 = 31,414.80/x
  3. Step 3: Cross multiply
    51,565.24x = 71,138.80 × 31,414.80
  4. Step 4: Simplify right side
    51,565.24x = 2,234,811,174.24
  5. Step 5: Solve for x
    x = 2,234,811,174.24/51,565.24
  6. Step 6: Final answer
    x = 43,339.49

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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.