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Finding the Fourth Proportional to 125,382.96, 188,086.56 and 36,634.44

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Solution

The fourth proportional to 125,382.96, 188,086.56 and 36,634.44 is: 54,955.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,382.96 : 188,086.56 = 36,634.44 : x
  2. Step 2: Convert to fraction form
    125,382.96/188,086.56 = 36,634.44/x
  3. Step 3: Cross multiply
    125,382.96x = 188,086.56 × 36,634.44
  4. Step 4: Simplify right side
    125,382.96x = 6,890,445,797.13
  5. Step 5: Solve for x
    x = 6,890,445,797.13/125,382.96
  6. Step 6: Final answer
    x = 54,955.20

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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.