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Finding the Fourth Proportional to 33,767.92, 50,648.04 and 9,142

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Solution

The fourth proportional to 33,767.92, 50,648.04 and 9,142 is: 13,711.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,767.92 : 50,648.04 = 9,142 : x
  2. Step 2: Convert to fraction form
    33,767.92/50,648.04 = 9,142/x
  3. Step 3: Cross multiply
    33,767.92x = 50,648.04 × 9,142
  4. Step 4: Simplify right side
    33,767.92x = 463,024,381.68
  5. Step 5: Solve for x
    x = 463,024,381.68/33,767.92
  6. Step 6: Final answer
    x = 13,711.96

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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.