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Finding the Fourth Proportional to 69,766, 96,255.80 and 39,546.48

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Solution

The fourth proportional to 69,766, 96,255.80 and 39,546.48 is: 54,562.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,766 : 96,255.80 = 39,546.48 : x
  2. Step 2: Convert to fraction form
    69,766/96,255.80 = 39,546.48/x
  3. Step 3: Cross multiply
    69,766x = 96,255.80 × 39,546.48
  4. Step 4: Simplify right side
    69,766x = 3,806,578,069.58
  5. Step 5: Solve for x
    x = 3,806,578,069.58/69,766
  6. Step 6: Final answer
    x = 54,562.08

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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.