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Finding the Fourth Proportional to 84,078.97, 125,978.31 and 59,074.25

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Solution

The fourth proportional to 84,078.97, 125,978.31 and 59,074.25 is: 88,512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,078.97 : 125,978.31 = 59,074.25 : x
  2. Step 2: Convert to fraction form
    84,078.97/125,978.31 = 59,074.25/x
  3. Step 3: Cross multiply
    84,078.97x = 125,978.31 × 59,074.25
  4. Step 4: Simplify right side
    84,078.97x = 7,442,073,549.63
  5. Step 5: Solve for x
    x = 7,442,073,549.63/84,078.97
  6. Step 6: Final answer
    x = 88,512.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.