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Finding the Fourth Proportional to 31,608, 43,614.72 and 17,460

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Solution

The fourth proportional to 31,608, 43,614.72 and 17,460 is: 24,092.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,608 : 43,614.72 = 17,460 : x
  2. Step 2: Convert to fraction form
    31,608/43,614.72 = 17,460/x
  3. Step 3: Cross multiply
    31,608x = 43,614.72 × 17,460
  4. Step 4: Simplify right side
    31,608x = 761,513,011.20
  5. Step 5: Solve for x
    x = 761,513,011.20/31,608
  6. Step 6: Final answer
    x = 24,092.41

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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.