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Finding the Fourth Proportional to 32,767.88, 49,151.82 and 8,143.88

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Solution

The fourth proportional to 32,767.88, 49,151.82 and 8,143.88 is: 12,215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,767.88 : 49,151.82 = 8,143.88 : x
  2. Step 2: Convert to fraction form
    32,767.88/49,151.82 = 8,143.88/x
  3. Step 3: Cross multiply
    32,767.88x = 49,151.82 × 8,143.88
  4. Step 4: Simplify right side
    32,767.88x = 400,286,523.86
  5. Step 5: Solve for x
    x = 400,286,523.86/32,767.88
  6. Step 6: Final answer
    x = 12,215.82

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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.