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Finding the Fourth Proportional to 31,149.82, 42,987.03 and 17,002.66

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Solution

The fourth proportional to 31,149.82, 42,987.03 and 17,002.66 is: 23,463.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,149.82 : 42,987.03 = 17,002.66 : x
  2. Step 2: Convert to fraction form
    31,149.82/42,987.03 = 17,002.66/x
  3. Step 3: Cross multiply
    31,149.82x = 42,987.03 × 17,002.66
  4. Step 4: Simplify right side
    31,149.82x = 730,893,855.50
  5. Step 5: Solve for x
    x = 730,893,855.50/31,149.82
  6. Step 6: Final answer
    x = 23,463.82

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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.