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Finding the Fourth Proportional to 32,767.57, 49,151.39 and 8,143.57

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Solution

The fourth proportional to 32,767.57, 49,151.39 and 8,143.57 is: 12,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,767.57 : 49,151.39 = 8,143.57 : x
  2. Step 2: Convert to fraction form
    32,767.57/49,151.39 = 8,143.57/x
  3. Step 3: Cross multiply
    32,767.57x = 49,151.39 × 8,143.57
  4. Step 4: Simplify right side
    32,767.57x = 400,267,785.06
  5. Step 5: Solve for x
    x = 400,267,785.06/32,767.57
  6. Step 6: Final answer
    x = 12,215.36

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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.