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Finding the Fourth Proportional to 69,751.85, 96,258.17 and 37,920.80

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Solution

The fourth proportional to 69,751.85, 96,258.17 and 37,920.80 is: 52,331.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,751.85 : 96,258.17 = 37,920.80 : x
  2. Step 2: Convert to fraction form
    69,751.85/96,258.17 = 37,920.80/x
  3. Step 3: Cross multiply
    69,751.85x = 96,258.17 × 37,920.80
  4. Step 4: Simplify right side
    69,751.85x = 3,650,187,148.38
  5. Step 5: Solve for x
    x = 3,650,187,148.38/69,751.85
  6. Step 6: Final answer
    x = 52,331.05

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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.