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Finding the Fourth Proportional to 31,660.56, 47,459.52 and 14,991.30

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Solution

The fourth proportional to 31,660.56, 47,459.52 and 14,991.30 is: 22,472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,660.56 : 47,459.52 = 14,991.30 : x
  2. Step 2: Convert to fraction form
    31,660.56/47,459.52 = 14,991.30/x
  3. Step 3: Cross multiply
    31,660.56x = 47,459.52 × 14,991.30
  4. Step 4: Simplify right side
    31,660.56x = 711,479,902.18
  5. Step 5: Solve for x
    x = 711,479,902.18/31,660.56
  6. Step 6: Final answer
    x = 22,472.12

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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.