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Finding the Fourth Proportional to 71,981.91, 108,030.60 and 32,542.43

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Solution

The fourth proportional to 71,981.91, 108,030.60 and 32,542.43 is: 48,839.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,981.91 : 108,030.60 = 32,542.43 : x
  2. Step 2: Convert to fraction form
    71,981.91/108,030.60 = 32,542.43/x
  3. Step 3: Cross multiply
    71,981.91x = 108,030.60 × 32,542.43
  4. Step 4: Simplify right side
    71,981.91x = 3,515,577,698.21
  5. Step 5: Solve for x
    x = 3,515,577,698.21/71,981.91
  6. Step 6: Final answer
    x = 48,839.74

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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.