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Finding the Fourth Proportional to 31,468.68, 47,211.22 and 11,747.40

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Solution

The fourth proportional to 31,468.68, 47,211.22 and 11,747.40 is: 17,624.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,468.68 : 47,211.22 = 11,747.40 : x
  2. Step 2: Convert to fraction form
    31,468.68/47,211.22 = 11,747.40/x
  3. Step 3: Cross multiply
    31,468.68x = 47,211.22 × 11,747.40
  4. Step 4: Simplify right side
    31,468.68x = 554,609,085.83
  5. Step 5: Solve for x
    x = 554,609,085.83/31,468.68
  6. Step 6: Final answer
    x = 17,624.16

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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.