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Finding the Fourth Proportional to 69,747.30, 96,250.14 and 37,917

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Solution

The fourth proportional to 69,747.30, 96,250.14 and 37,917 is: 52,324.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,747.30 : 96,250.14 = 37,917 : x
  2. Step 2: Convert to fraction form
    69,747.30/96,250.14 = 37,917/x
  3. Step 3: Cross multiply
    69,747.30x = 96,250.14 × 37,917
  4. Step 4: Simplify right side
    69,747.30x = 3,649,516,558.38
  5. Step 5: Solve for x
    x = 3,649,516,558.38/69,747.30
  6. Step 6: Final answer
    x = 52,324.84

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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.