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Finding the Fourth Proportional to 31,691.81, 43,677.54 and 28,063.22

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Solution

The fourth proportional to 31,691.81, 43,677.54 and 28,063.22 is: 38,676.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,691.81 : 43,677.54 = 28,063.22 : x
  2. Step 2: Convert to fraction form
    31,691.81/43,677.54 = 28,063.22/x
  3. Step 3: Cross multiply
    31,691.81x = 43,677.54 × 28,063.22
  4. Step 4: Simplify right side
    31,691.81x = 1,225,732,195.69
  5. Step 5: Solve for x
    x = 1,225,732,195.69/31,691.81
  6. Step 6: Final answer
    x = 38,676.63

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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.