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Finding the Fourth Proportional to 33,232, 49,820.06 and 13,524.70

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Solution

The fourth proportional to 33,232, 49,820.06 and 13,524.70 is: 20,275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,232 : 49,820.06 = 13,524.70 : x
  2. Step 2: Convert to fraction form
    33,232/49,820.06 = 13,524.70/x
  3. Step 3: Cross multiply
    33,232x = 49,820.06 × 13,524.70
  4. Step 4: Simplify right side
    33,232x = 673,801,297.86
  5. Step 5: Solve for x
    x = 673,801,297.86/33,232
  6. Step 6: Final answer
    x = 20,275.68

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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.