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Finding the Fourth Proportional to 37,761.66, 52,096.11 and 22,654.62

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Solution

The fourth proportional to 37,761.66, 52,096.11 and 22,654.62 is: 31,254.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,761.66 : 52,096.11 = 22,654.62 : x
  2. Step 2: Convert to fraction form
    37,761.66/52,096.11 = 22,654.62/x
  3. Step 3: Cross multiply
    37,761.66x = 52,096.11 × 22,654.62
  4. Step 4: Simplify right side
    37,761.66x = 1,180,217,575.53
  5. Step 5: Solve for x
    x = 1,180,217,575.53/37,761.66
  6. Step 6: Final answer
    x = 31,254.39

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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.