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Finding the Fourth Proportional to 31,149.84, 42,987 and 17,002.80

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Solution

The fourth proportional to 31,149.84, 42,987 and 17,002.80 is: 23,463.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,149.84 : 42,987 = 17,002.80 : x
  2. Step 2: Convert to fraction form
    31,149.84/42,987 = 17,002.80/x
  3. Step 3: Cross multiply
    31,149.84x = 42,987 × 17,002.80
  4. Step 4: Simplify right side
    31,149.84x = 730,899,363.60
  5. Step 5: Solve for x
    x = 730,899,363.60/31,149.84
  6. Step 6: Final answer
    x = 23,463.98

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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.