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Finding the Fourth Proportional to 69,882.72, 96,438.69 and 38,051.61

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Solution

The fourth proportional to 69,882.72, 96,438.69 and 38,051.61 is: 52,511.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,882.72 : 96,438.69 = 38,051.61 : x
  2. Step 2: Convert to fraction form
    69,882.72/96,438.69 = 38,051.61/x
  3. Step 3: Cross multiply
    69,882.72x = 96,438.69 × 38,051.61
  4. Step 4: Simplify right side
    69,882.72x = 3,669,647,420.79
  5. Step 5: Solve for x
    x = 3,669,647,420.79/69,882.72
  6. Step 6: Final answer
    x = 52,511.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.