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Finding the Fourth Proportional to 69,844.36, 96,385.22 and 38,013.49

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Solution

The fourth proportional to 69,844.36, 96,385.22 and 38,013.49 is: 52,458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,844.36 : 96,385.22 = 38,013.49 : x
  2. Step 2: Convert to fraction form
    69,844.36/96,385.22 = 38,013.49/x
  3. Step 3: Cross multiply
    69,844.36x = 96,385.22 × 38,013.49
  4. Step 4: Simplify right side
    69,844.36x = 3,663,938,020.50
  5. Step 5: Solve for x
    x = 3,663,938,020.50/69,844.36
  6. Step 6: Final answer
    x = 52,458.61

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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.