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Finding the Fourth Proportional to 42,406.88, 58,523.31 and 23,544

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Solution

The fourth proportional to 42,406.88, 58,523.31 and 23,544 is: 32,491.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,406.88 : 58,523.31 = 23,544 : x
  2. Step 2: Convert to fraction form
    42,406.88/58,523.31 = 23,544/x
  3. Step 3: Cross multiply
    42,406.88x = 58,523.31 × 23,544
  4. Step 4: Simplify right side
    42,406.88x = 1,377,872,810.64
  5. Step 5: Solve for x
    x = 1,377,872,810.64/42,406.88
  6. Step 6: Final answer
    x = 32,491.73

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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.