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Finding the Fourth Proportional to 33,031.56, 49,540.86 and 9,652.54

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Solution

The fourth proportional to 33,031.56, 49,540.86 and 9,652.54 is: 14,476.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,031.56 : 49,540.86 = 9,652.54 : x
  2. Step 2: Convert to fraction form
    33,031.56/49,540.86 = 9,652.54/x
  3. Step 3: Cross multiply
    33,031.56x = 49,540.86 × 9,652.54
  4. Step 4: Simplify right side
    33,031.56x = 478,195,132.78
  5. Step 5: Solve for x
    x = 478,195,132.78/33,031.56
  6. Step 6: Final answer
    x = 14,476.92

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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.