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Finding the Fourth Proportional to 71,821.68, 107,648.16 and 32,332.56

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Solution

The fourth proportional to 71,821.68, 107,648.16 and 32,332.56 is: 48,460.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,821.68 : 107,648.16 = 32,332.56 : x
  2. Step 2: Convert to fraction form
    71,821.68/107,648.16 = 32,332.56/x
  3. Step 3: Cross multiply
    71,821.68x = 107,648.16 × 32,332.56
  4. Step 4: Simplify right side
    71,821.68x = 3,480,540,592.09
  5. Step 5: Solve for x
    x = 3,480,540,592.09/71,821.68
  6. Step 6: Final answer
    x = 48,460.86

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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.