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Finding the Fourth Proportional to 42,381.36, 58,472.76 and 24,474

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Solution

The fourth proportional to 42,381.36, 58,472.76 and 24,474 is: 33,766.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,381.36 : 58,472.76 = 24,474 : x
  2. Step 2: Convert to fraction form
    42,381.36/58,472.76 = 24,474/x
  3. Step 3: Cross multiply
    42,381.36x = 58,472.76 × 24,474
  4. Step 4: Simplify right side
    42,381.36x = 1,431,062,328.24
  5. Step 5: Solve for x
    x = 1,431,062,328.24/42,381.36
  6. Step 6: Final answer
    x = 33,766.31

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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.