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Finding the Fourth Proportional to 80,364.78, 120,530.70 and 30,427.65

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Solution

The fourth proportional to 80,364.78, 120,530.70 and 30,427.65 is: 45,635.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,364.78 : 120,530.70 = 30,427.65 : x
  2. Step 2: Convert to fraction form
    80,364.78/120,530.70 = 30,427.65/x
  3. Step 3: Cross multiply
    80,364.78x = 120,530.70 × 30,427.65
  4. Step 4: Simplify right side
    80,364.78x = 3,667,465,953.86
  5. Step 5: Solve for x
    x = 3,667,465,953.86/80,364.78
  6. Step 6: Final answer
    x = 45,635.24

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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.