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Finding the Fourth Proportional to 31,113.62, 42,937 and 16,966.70

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Solution

The fourth proportional to 31,113.62, 42,937 and 16,966.70 is: 23,414.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,113.62 : 42,937 = 16,966.70 : x
  2. Step 2: Convert to fraction form
    31,113.62/42,937 = 16,966.70/x
  3. Step 3: Cross multiply
    31,113.62x = 42,937 × 16,966.70
  4. Step 4: Simplify right side
    31,113.62x = 728,499,197.90
  5. Step 5: Solve for x
    x = 728,499,197.90/31,113.62
  6. Step 6: Final answer
    x = 23,414.16

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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.