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Finding the Fourth Proportional to 71,983.24, 107,980.26 and 32,562.52

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Solution

The fourth proportional to 71,983.24, 107,980.26 and 32,562.52 is: 48,846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,983.24 : 107,980.26 = 32,562.52 : x
  2. Step 2: Convert to fraction form
    71,983.24/107,980.26 = 32,562.52/x
  3. Step 3: Cross multiply
    71,983.24x = 107,980.26 × 32,562.52
  4. Step 4: Simplify right side
    71,983.24x = 3,516,109,375.86
  5. Step 5: Solve for x
    x = 3,516,109,375.86/71,983.24
  6. Step 6: Final answer
    x = 48,846.22

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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.