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Finding the Fourth Proportional to 31,156, 43,002.96 and 17,915.68

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Solution

The fourth proportional to 31,156, 43,002.96 and 17,915.68 is: 24,728.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,156 : 43,002.96 = 17,915.68 : x
  2. Step 2: Convert to fraction form
    31,156/43,002.96 = 17,915.68/x
  3. Step 3: Cross multiply
    31,156x = 43,002.96 × 17,915.68
  4. Step 4: Simplify right side
    31,156x = 770,427,270.41
  5. Step 5: Solve for x
    x = 770,427,270.41/31,156
  6. Step 6: Final answer
    x = 24,728.05

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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.