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Finding the Fourth Proportional to 31,329.72, 47,005.11 and 11,609.87

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Solution

The fourth proportional to 31,329.72, 47,005.11 and 11,609.87 is: 17,418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,329.72 : 47,005.11 = 11,609.87 : x
  2. Step 2: Convert to fraction form
    31,329.72/47,005.11 = 11,609.87/x
  3. Step 3: Cross multiply
    31,329.72x = 47,005.11 × 11,609.87
  4. Step 4: Simplify right side
    31,329.72x = 545,722,981.41
  5. Step 5: Solve for x
    x = 545,722,981.41/31,329.72
  6. Step 6: Final answer
    x = 17,418.70

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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.