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Finding the Fourth Proportional to 65,382.20, 90,212.72 and 38,527.21

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Solution

The fourth proportional to 65,382.20, 90,212.72 and 38,527.21 is: 53,158.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,382.20 : 90,212.72 = 38,527.21 : x
  2. Step 2: Convert to fraction form
    65,382.20/90,212.72 = 38,527.21/x
  3. Step 3: Cross multiply
    65,382.20x = 90,212.72 × 38,527.21
  4. Step 4: Simplify right side
    65,382.20x = 3,475,644,328.24
  5. Step 5: Solve for x
    x = 3,475,644,328.24/65,382.20
  6. Step 6: Final answer
    x = 53,158.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.