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Finding the Fourth Proportional to 31,356.38, 43,271.80 and 18,781.13

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Solution

The fourth proportional to 31,356.38, 43,271.80 and 18,781.13 is: 25,917.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,356.38 : 43,271.80 = 18,781.13 : x
  2. Step 2: Convert to fraction form
    31,356.38/43,271.80 = 18,781.13/x
  3. Step 3: Cross multiply
    31,356.38x = 43,271.80 × 18,781.13
  4. Step 4: Simplify right side
    31,356.38x = 812,693,301.13
  5. Step 5: Solve for x
    x = 812,693,301.13/31,356.38
  6. Step 6: Final answer
    x = 25,917.96

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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.