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Finding the Fourth Proportional to 31,909.52, 44,035.08 and 17,762.24

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Solution

The fourth proportional to 31,909.52, 44,035.08 and 17,762.24 is: 24,511.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,909.52 : 44,035.08 = 17,762.24 : x
  2. Step 2: Convert to fraction form
    31,909.52/44,035.08 = 17,762.24/x
  3. Step 3: Cross multiply
    31,909.52x = 44,035.08 × 17,762.24
  4. Step 4: Simplify right side
    31,909.52x = 782,161,659.38
  5. Step 5: Solve for x
    x = 782,161,659.38/31,909.52
  6. Step 6: Final answer
    x = 24,511.86

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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.