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Finding the Fourth Proportional to 32,775.24, 49,162.80 and 8,151.24

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Solution

The fourth proportional to 32,775.24, 49,162.80 and 8,151.24 is: 12,226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,775.24 : 49,162.80 = 8,151.24 : x
  2. Step 2: Convert to fraction form
    32,775.24/49,162.80 = 8,151.24/x
  3. Step 3: Cross multiply
    32,775.24x = 49,162.80 × 8,151.24
  4. Step 4: Simplify right side
    32,775.24x = 400,737,781.87
  5. Step 5: Solve for x
    x = 400,737,781.87/32,775.24
  6. Step 6: Final answer
    x = 12,226.85

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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.