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Finding the Fourth Proportional to 31,455.90, 47,186.46 and 13,687.16

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Solution

The fourth proportional to 31,455.90, 47,186.46 and 13,687.16 is: 20,531.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,455.90 : 47,186.46 = 13,687.16 : x
  2. Step 2: Convert to fraction form
    31,455.90/47,186.46 = 13,687.16/x
  3. Step 3: Cross multiply
    31,455.90x = 47,186.46 × 13,687.16
  4. Step 4: Simplify right side
    31,455.90x = 645,848,391.92
  5. Step 5: Solve for x
    x = 645,848,391.92/31,455.90
  6. Step 6: Final answer
    x = 20,531.87

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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.