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Finding the Fourth Proportional to 31,177.70, 43,039.38 and 19,862.71

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Solution

The fourth proportional to 31,177.70, 43,039.38 and 19,862.71 is: 27,419.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,177.70 : 43,039.38 = 19,862.71 : x
  2. Step 2: Convert to fraction form
    31,177.70/43,039.38 = 19,862.71/x
  3. Step 3: Cross multiply
    31,177.70x = 43,039.38 × 19,862.71
  4. Step 4: Simplify right side
    31,177.70x = 854,878,508.32
  5. Step 5: Solve for x
    x = 854,878,508.32/31,177.70
  6. Step 6: Final answer
    x = 27,419.55

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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.