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Finding the Fourth Proportional to 69,860.82, 96,408.38 and 38,029.71

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Solution

The fourth proportional to 69,860.82, 96,408.38 and 38,029.71 is: 52,481.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,860.82 : 96,408.38 = 38,029.71 : x
  2. Step 2: Convert to fraction form
    69,860.82/96,408.38 = 38,029.71/x
  3. Step 3: Cross multiply
    69,860.82x = 96,408.38 × 38,029.71
  4. Step 4: Simplify right side
    69,860.82x = 3,666,382,060.78
  5. Step 5: Solve for x
    x = 3,666,382,060.78/69,860.82
  6. Step 6: Final answer
    x = 52,481.24

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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.