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Finding the Fourth Proportional to 41,760, 62,638.77 and 15,464.16

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Solution

The fourth proportional to 41,760, 62,638.77 and 15,464.16 is: 23,195.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,760 : 62,638.77 = 15,464.16 : x
  2. Step 2: Convert to fraction form
    41,760/62,638.77 = 15,464.16/x
  3. Step 3: Cross multiply
    41,760x = 62,638.77 × 15,464.16
  4. Step 4: Simplify right side
    41,760x = 968,655,961.48
  5. Step 5: Solve for x
    x = 968,655,961.48/41,760
  6. Step 6: Final answer
    x = 23,195.78

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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.