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Finding the Fourth Proportional to 71,772.56, 107,658.92 and 32,322.32

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Solution

The fourth proportional to 71,772.56, 107,658.92 and 32,322.32 is: 48,483.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,772.56 : 107,658.92 = 32,322.32 : x
  2. Step 2: Convert to fraction form
    71,772.56/107,658.92 = 32,322.32/x
  3. Step 3: Cross multiply
    71,772.56x = 107,658.92 × 32,322.32
  4. Step 4: Simplify right side
    71,772.56x = 3,479,786,063.09
  5. Step 5: Solve for x
    x = 3,479,786,063.09/71,772.56
  6. Step 6: Final answer
    x = 48,483.52

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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.