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Finding the Fourth Proportional to 36,432, 54,643.12 and 14,229.92

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Solution

The fourth proportional to 36,432, 54,643.12 and 14,229.92 is: 21,342.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,432 : 54,643.12 = 14,229.92 : x
  2. Step 2: Convert to fraction form
    36,432/54,643.12 = 14,229.92/x
  3. Step 3: Cross multiply
    36,432x = 54,643.12 × 14,229.92
  4. Step 4: Simplify right side
    36,432x = 777,567,226.15
  5. Step 5: Solve for x
    x = 777,567,226.15/36,432
  6. Step 6: Final answer
    x = 21,342.97

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Why These Related Problems?

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