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Finding the Fourth Proportional to 37,469.64, 51,691.86 and 22,557

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Solution

The fourth proportional to 37,469.64, 51,691.86 and 22,557 is: 31,118.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,469.64 : 51,691.86 = 22,557 : x
  2. Step 2: Convert to fraction form
    37,469.64/51,691.86 = 22,557/x
  3. Step 3: Cross multiply
    37,469.64x = 51,691.86 × 22,557
  4. Step 4: Simplify right side
    37,469.64x = 1,166,013,286.02
  5. Step 5: Solve for x
    x = 1,166,013,286.02/37,469.64
  6. Step 6: Final answer
    x = 31,118.88

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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.