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Finding the Fourth Proportional to 31,391.85, 43,291.02 and 20,617.76

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Solution

The fourth proportional to 31,391.85, 43,291.02 and 20,617.76 is: 28,432.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,391.85 : 43,291.02 = 20,617.76 : x
  2. Step 2: Convert to fraction form
    31,391.85/43,291.02 = 20,617.76/x
  3. Step 3: Cross multiply
    31,391.85x = 43,291.02 × 20,617.76
  4. Step 4: Simplify right side
    31,391.85x = 892,564,020.29
  5. Step 5: Solve for x
    x = 892,564,020.29/31,391.85
  6. Step 6: Final answer
    x = 28,432.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.