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Finding the Fourth Proportional to 51,965.60, 71,711.52 and 29,306.72

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Solution

The fourth proportional to 51,965.60, 71,711.52 and 29,306.72 is: 40,442.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,965.60 : 71,711.52 = 29,306.72 : x
  2. Step 2: Convert to fraction form
    51,965.60/71,711.52 = 29,306.72/x
  3. Step 3: Cross multiply
    51,965.60x = 71,711.52 × 29,306.72
  4. Step 4: Simplify right side
    51,965.60x = 2,101,629,437.41
  5. Step 5: Solve for x
    x = 2,101,629,437.41/51,965.60
  6. Step 6: Final answer
    x = 40,442.71

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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.