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Finding the Fourth Proportional to 80,442.13, 120,680.54 and 24,277.54

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Solution

The fourth proportional to 80,442.13, 120,680.54 and 24,277.54 is: 36,421.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,442.13 : 120,680.54 = 24,277.54 : x
  2. Step 2: Convert to fraction form
    80,442.13/120,680.54 = 24,277.54/x
  3. Step 3: Cross multiply
    80,442.13x = 120,680.54 × 24,277.54
  4. Step 4: Simplify right side
    80,442.13x = 2,929,826,637.07
  5. Step 5: Solve for x
    x = 2,929,826,637.07/80,442.13
  6. Step 6: Final answer
    x = 36,421.54

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1.5x scale

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.