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Finding the Fourth Proportional to 57,641.28, 86,461.92 and 33,000

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Solution

The fourth proportional to 57,641.28, 86,461.92 and 33,000 is: 49,500

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,641.28 : 86,461.92 = 33,000 : x
  2. Step 2: Convert to fraction form
    57,641.28/86,461.92 = 33,000/x
  3. Step 3: Cross multiply
    57,641.28x = 86,461.92 × 33,000
  4. Step 4: Simplify right side
    57,641.28x = 2,853,243,360
  5. Step 5: Solve for x
    x = 2,853,243,360/57,641.28
  6. Step 6: Final answer
    x = 49,500

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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.