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Finding the Fourth Proportional to 83,744.32, 125,584.32 and 33,807.04

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Solution

The fourth proportional to 83,744.32, 125,584.32 and 33,807.04 is: 50,697.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,744.32 : 125,584.32 = 33,807.04 : x
  2. Step 2: Convert to fraction form
    83,744.32/125,584.32 = 33,807.04/x
  3. Step 3: Cross multiply
    83,744.32x = 125,584.32 × 33,807.04
  4. Step 4: Simplify right side
    83,744.32x = 4,245,634,129.61
  5. Step 5: Solve for x
    x = 4,245,634,129.61/83,744.32
  6. Step 6: Final answer
    x = 50,697.58

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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.