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Finding the Fourth Proportional to 75,472.64, 113,169.92 and 33,884.16

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Solution

The fourth proportional to 75,472.64, 113,169.92 and 33,884.16 is: 50,808.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,472.64 : 113,169.92 = 33,884.16 : x
  2. Step 2: Convert to fraction form
    75,472.64/113,169.92 = 33,884.16/x
  3. Step 3: Cross multiply
    75,472.64x = 113,169.92 × 33,884.16
  4. Step 4: Simplify right side
    75,472.64x = 3,834,667,676.47
  5. Step 5: Solve for x
    x = 3,834,667,676.47/75,472.64
  6. Step 6: Final answer
    x = 50,808.71

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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.