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Finding the Fourth Proportional to 31,149.42, 42,986.07 and 17,002.32

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Solution

The fourth proportional to 31,149.42, 42,986.07 and 17,002.32 is: 23,463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,149.42 : 42,986.07 = 17,002.32 : x
  2. Step 2: Convert to fraction form
    31,149.42/42,986.07 = 17,002.32/x
  3. Step 3: Cross multiply
    31,149.42x = 42,986.07 × 17,002.32
  4. Step 4: Simplify right side
    31,149.42x = 730,862,917.68
  5. Step 5: Solve for x
    x = 730,862,917.68/31,149.42
  6. Step 6: Final answer
    x = 23,463.13

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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.