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Finding the Fourth Proportional to 31,447.20, 47,123.28 and 21,040.32

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Solution

The fourth proportional to 31,447.20, 47,123.28 and 21,040.32 is: 31,528.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,447.20 : 47,123.28 = 21,040.32 : x
  2. Step 2: Convert to fraction form
    31,447.20/47,123.28 = 21,040.32/x
  3. Step 3: Cross multiply
    31,447.20x = 47,123.28 × 21,040.32
  4. Step 4: Simplify right side
    31,447.20x = 991,488,890.65
  5. Step 5: Solve for x
    x = 991,488,890.65/31,447.20
  6. Step 6: Final answer
    x = 31,528.69

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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.