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Finding the Fourth Proportional to 31,411.72, 43,348.78 and 17,264.48

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Solution

The fourth proportional to 31,411.72, 43,348.78 and 17,264.48 is: 23,825.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,411.72 : 43,348.78 = 17,264.48 : x
  2. Step 2: Convert to fraction form
    31,411.72/43,348.78 = 17,264.48/x
  3. Step 3: Cross multiply
    31,411.72x = 43,348.78 × 17,264.48
  4. Step 4: Simplify right side
    31,411.72x = 748,394,145.33
  5. Step 5: Solve for x
    x = 748,394,145.33/31,411.72
  6. Step 6: Final answer
    x = 23,825.32

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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.