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Finding the Fourth Proportional to 31,714.20, 47,506.71 and 15,023.64

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Solution

The fourth proportional to 31,714.20, 47,506.71 and 15,023.64 is: 22,504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,714.20 : 47,506.71 = 15,023.64 : x
  2. Step 2: Convert to fraction form
    31,714.20/47,506.71 = 15,023.64/x
  3. Step 3: Cross multiply
    31,714.20x = 47,506.71 × 15,023.64
  4. Step 4: Simplify right side
    31,714.20x = 713,723,708.62
  5. Step 5: Solve for x
    x = 713,723,708.62/31,714.20
  6. Step 6: Final answer
    x = 22,504.86

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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.