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Finding the Fourth Proportional to 31,387.55, 43,314.80 and 17,240.38

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Solution

The fourth proportional to 31,387.55, 43,314.80 and 17,240.38 is: 23,791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,387.55 : 43,314.80 = 17,240.38 : x
  2. Step 2: Convert to fraction form
    31,387.55/43,314.80 = 17,240.38/x
  3. Step 3: Cross multiply
    31,387.55x = 43,314.80 × 17,240.38
  4. Step 4: Simplify right side
    31,387.55x = 746,763,417.14
  5. Step 5: Solve for x
    x = 746,763,417.14/31,387.55
  6. Step 6: Final answer
    x = 23,791.71

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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.