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Finding the Fourth Proportional to 71,797.66, 107,696.51 and 32,308.64

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Solution

The fourth proportional to 71,797.66, 107,696.51 and 32,308.64 is: 48,462.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,797.66 : 107,696.51 = 32,308.64 : x
  2. Step 2: Convert to fraction form
    71,797.66/107,696.51 = 32,308.64/x
  3. Step 3: Cross multiply
    71,797.66x = 107,696.51 × 32,308.64
  4. Step 4: Simplify right side
    71,797.66x = 3,479,527,770.85
  5. Step 5: Solve for x
    x = 3,479,527,770.85/71,797.66
  6. Step 6: Final answer
    x = 48,462.97

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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.