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Finding the Fourth Proportional to 42,644.66, 58,849.69 and 23,524

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Solution

The fourth proportional to 42,644.66, 58,849.69 and 23,524 is: 32,463.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,644.66 : 58,849.69 = 23,524 : x
  2. Step 2: Convert to fraction form
    42,644.66/58,849.69 = 23,524/x
  3. Step 3: Cross multiply
    42,644.66x = 58,849.69 × 23,524
  4. Step 4: Simplify right side
    42,644.66x = 1,384,380,107.56
  5. Step 5: Solve for x
    x = 1,384,380,107.56/42,644.66
  6. Step 6: Final answer
    x = 32,463.15

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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.