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Finding the Fourth Proportional to 38,757.56, 58,142.22 and 16,571

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Solution

The fourth proportional to 38,757.56, 58,142.22 and 16,571 is: 24,859.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,757.56 : 58,142.22 = 16,571 : x
  2. Step 2: Convert to fraction form
    38,757.56/58,142.22 = 16,571/x
  3. Step 3: Cross multiply
    38,757.56x = 58,142.22 × 16,571
  4. Step 4: Simplify right side
    38,757.56x = 963,474,727.62
  5. Step 5: Solve for x
    x = 963,474,727.62/38,757.56
  6. Step 6: Final answer
    x = 24,859.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.