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Finding the Fourth Proportional to 80,294.80, 120,346.52 and 32,907.98

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Solution

The fourth proportional to 80,294.80, 120,346.52 and 32,907.98 is: 49,322.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,294.80 : 120,346.52 = 32,907.98 : x
  2. Step 2: Convert to fraction form
    80,294.80/120,346.52 = 32,907.98/x
  3. Step 3: Cross multiply
    80,294.80x = 120,346.52 × 32,907.98
  4. Step 4: Simplify right side
    80,294.80x = 3,960,360,873.23
  5. Step 5: Solve for x
    x = 3,960,360,873.23/80,294.80
  6. Step 6: Final answer
    x = 49,322.76

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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.