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Finding the Fourth Proportional to 71,835.66, 107,753.28 and 32,346.54

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Solution

The fourth proportional to 71,835.66, 107,753.28 and 32,346.54 is: 48,519.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,835.66 : 107,753.28 = 32,346.54 : x
  2. Step 2: Convert to fraction form
    71,835.66/107,753.28 = 32,346.54/x
  3. Step 3: Cross multiply
    71,835.66x = 107,753.28 × 32,346.54
  4. Step 4: Simplify right side
    71,835.66x = 3,485,445,781.65
  5. Step 5: Solve for x
    x = 3,485,445,781.65/71,835.66
  6. Step 6: Final answer
    x = 48,519.72

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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.