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Finding the Fourth Proportional to 80,347.52, 120,482.40 and 27,738.56

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Solution

The fourth proportional to 80,347.52, 120,482.40 and 27,738.56 is: 41,594.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,347.52 : 120,482.40 = 27,738.56 : x
  2. Step 2: Convert to fraction form
    80,347.52/120,482.40 = 27,738.56/x
  3. Step 3: Cross multiply
    80,347.52x = 120,482.40 × 27,738.56
  4. Step 4: Simplify right side
    80,347.52x = 3,342,008,281.34
  5. Step 5: Solve for x
    x = 3,342,008,281.34/80,347.52
  6. Step 6: Final answer
    x = 41,594.42

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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.