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Finding the Fourth Proportional to 36,241.92, 54,366.72 and 17,760

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Solution

The fourth proportional to 36,241.92, 54,366.72 and 17,760 is: 26,641.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,241.92 : 54,366.72 = 17,760 : x
  2. Step 2: Convert to fraction form
    36,241.92/54,366.72 = 17,760/x
  3. Step 3: Cross multiply
    36,241.92x = 54,366.72 × 17,760
  4. Step 4: Simplify right side
    36,241.92x = 965,552,947.20
  5. Step 5: Solve for x
    x = 965,552,947.20/36,241.92
  6. Step 6: Final answer
    x = 26,641.88

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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.