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Finding the Fourth Proportional to 31,640.70, 47,484.39 and 15,000.66

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Solution

The fourth proportional to 31,640.70, 47,484.39 and 15,000.66 is: 22,512.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,640.70 : 47,484.39 = 15,000.66 : x
  2. Step 2: Convert to fraction form
    31,640.70/47,484.39 = 15,000.66/x
  3. Step 3: Cross multiply
    31,640.70x = 47,484.39 × 15,000.66
  4. Step 4: Simplify right side
    31,640.70x = 712,297,189.70
  5. Step 5: Solve for x
    x = 712,297,189.70/31,640.70
  6. Step 6: Final answer
    x = 22,512.06

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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.