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Finding the Fourth Proportional to 31,149.70, 42,984.88 and 17,002.24

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Solution

The fourth proportional to 31,149.70, 42,984.88 and 17,002.24 is: 23,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,149.70 : 42,984.88 = 17,002.24 : x
  2. Step 2: Convert to fraction form
    31,149.70/42,984.88 = 17,002.24/x
  3. Step 3: Cross multiply
    31,149.70x = 42,984.88 × 17,002.24
  4. Step 4: Simplify right side
    31,149.70x = 730,839,246.13
  5. Step 5: Solve for x
    x = 730,839,246.13/31,149.70
  6. Step 6: Final answer
    x = 23,462.16

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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.