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Finding the Fourth Proportional to 37,569.82, 51,846.27 and 21,654.16

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Solution

The fourth proportional to 37,569.82, 51,846.27 and 21,654.16 is: 29,882.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,569.82 : 51,846.27 = 21,654.16 : x
  2. Step 2: Convert to fraction form
    37,569.82/51,846.27 = 21,654.16/x
  3. Step 3: Cross multiply
    37,569.82x = 51,846.27 × 21,654.16
  4. Step 4: Simplify right side
    37,569.82x = 1,122,687,425.98
  5. Step 5: Solve for x
    x = 1,122,687,425.98/37,569.82
  6. Step 6: Final answer
    x = 29,882.69

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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.