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Finding the Fourth Proportional to 31,013.88, 42,792.48 and 17,584.08

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Solution

The fourth proportional to 31,013.88, 42,792.48 and 17,584.08 is: 24,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,013.88 : 42,792.48 = 17,584.08 : x
  2. Step 2: Convert to fraction form
    31,013.88/42,792.48 = 17,584.08/x
  3. Step 3: Cross multiply
    31,013.88x = 42,792.48 × 17,584.08
  4. Step 4: Simplify right side
    31,013.88x = 752,466,391.72
  5. Step 5: Solve for x
    x = 752,466,391.72/31,013.88
  6. Step 6: Final answer
    x = 24,262.25

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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.