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Finding the Fourth Proportional to 33,046.24, 49,569.68 and 8,422.24

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Solution

The fourth proportional to 33,046.24, 49,569.68 and 8,422.24 is: 12,633.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,046.24 : 49,569.68 = 8,422.24 : x
  2. Step 2: Convert to fraction form
    33,046.24/49,569.68 = 8,422.24/x
  3. Step 3: Cross multiply
    33,046.24x = 49,569.68 × 8,422.24
  4. Step 4: Simplify right side
    33,046.24x = 417,487,741.68
  5. Step 5: Solve for x
    x = 417,487,741.68/33,046.24
  6. Step 6: Final answer
    x = 12,633.44

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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.