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Finding the Fourth Proportional to 31,459.17, 47,196.92 and 11,737.88

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Solution

The fourth proportional to 31,459.17, 47,196.92 and 11,737.88 is: 17,609.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,459.17 : 47,196.92 = 11,737.88 : x
  2. Step 2: Convert to fraction form
    31,459.17/47,196.92 = 11,737.88/x
  3. Step 3: Cross multiply
    31,459.17x = 47,196.92 × 11,737.88
  4. Step 4: Simplify right side
    31,459.17x = 553,991,576.69
  5. Step 5: Solve for x
    x = 553,991,576.69/31,459.17
  6. Step 6: Final answer
    x = 17,609.86

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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.