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Finding the Fourth Proportional to 31,294.38, 43,187.25 and 17,148.13

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Solution

The fourth proportional to 31,294.38, 43,187.25 and 17,148.13 is: 23,664.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,294.38 : 43,187.25 = 17,148.13 : x
  2. Step 2: Convert to fraction form
    31,294.38/43,187.25 = 17,148.13/x
  3. Step 3: Cross multiply
    31,294.38x = 43,187.25 × 17,148.13
  4. Step 4: Simplify right side
    31,294.38x = 740,580,577.34
  5. Step 5: Solve for x
    x = 740,580,577.34/31,294.38
  6. Step 6: Final answer
    x = 23,664.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.