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Finding the Fourth Proportional to 36,384.79, 54,577 and 31,439.38

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Solution

The fourth proportional to 36,384.79, 54,577 and 31,439.38 is: 47,158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,384.79 : 54,577 = 31,439.38 : x
  2. Step 2: Convert to fraction form
    36,384.79/54,577 = 31,439.38/x
  3. Step 3: Cross multiply
    36,384.79x = 54,577 × 31,439.38
  4. Step 4: Simplify right side
    36,384.79x = 1,715,867,042.26
  5. Step 5: Solve for x
    x = 1,715,867,042.26/36,384.79
  6. Step 6: Final answer
    x = 47,158.91

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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.