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Finding the Fourth Proportional to 41,760.78, 62,644.80 and 10,596

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Solution

The fourth proportional to 41,760.78, 62,644.80 and 10,596 is: 15,894.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,760.78 : 62,644.80 = 10,596 : x
  2. Step 2: Convert to fraction form
    41,760.78/62,644.80 = 10,596/x
  3. Step 3: Cross multiply
    41,760.78x = 62,644.80 × 10,596
  4. Step 4: Simplify right side
    41,760.78x = 663,784,300.80
  5. Step 5: Solve for x
    x = 663,784,300.80/41,760.78
  6. Step 6: Final answer
    x = 15,894.92

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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.