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Finding the Fourth Proportional to 31,372.01, 47,046.32 and 12,645.72

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Solution

The fourth proportional to 31,372.01, 47,046.32 and 12,645.72 is: 18,963.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,372.01 : 47,046.32 = 12,645.72 : x
  2. Step 2: Convert to fraction form
    31,372.01/47,046.32 = 12,645.72/x
  3. Step 3: Cross multiply
    31,372.01x = 47,046.32 × 12,645.72
  4. Step 4: Simplify right side
    31,372.01x = 594,934,573.94
  5. Step 5: Solve for x
    x = 594,934,573.94/31,372.01
  6. Step 6: Final answer
    x = 18,963.87

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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.