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Finding the Fourth Proportional to 32,969.25, 49,460.22 and 13,249.44

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Solution

The fourth proportional to 32,969.25, 49,460.22 and 13,249.44 is: 19,876.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,969.25 : 49,460.22 = 13,249.44 : x
  2. Step 2: Convert to fraction form
    32,969.25/49,460.22 = 13,249.44/x
  3. Step 3: Cross multiply
    32,969.25x = 49,460.22 × 13,249.44
  4. Step 4: Simplify right side
    32,969.25x = 655,320,217.28
  5. Step 5: Solve for x
    x = 655,320,217.28/32,969.25
  6. Step 6: Final answer
    x = 19,876.71

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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.