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Finding the Fourth Proportional to 86,493.86, 129,758.31 and 36,573.88

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Solution

The fourth proportional to 86,493.86, 129,758.31 and 36,573.88 is: 54,868.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,493.86 : 129,758.31 = 36,573.88 : x
  2. Step 2: Convert to fraction form
    86,493.86/129,758.31 = 36,573.88/x
  3. Step 3: Cross multiply
    86,493.86x = 129,758.31 × 36,573.88
  4. Step 4: Simplify right side
    86,493.86x = 4,745,764,397.39
  5. Step 5: Solve for x
    x = 4,745,764,397.39/86,493.86
  6. Step 6: Final answer
    x = 54,868.22

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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.