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Finding the Fourth Proportional to 41,029.92, 61,544.88 and 9,865.17

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Solution

The fourth proportional to 41,029.92, 61,544.88 and 9,865.17 is: 14,797.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,029.92 : 61,544.88 = 9,865.17 : x
  2. Step 2: Convert to fraction form
    41,029.92/61,544.88 = 9,865.17/x
  3. Step 3: Cross multiply
    41,029.92x = 61,544.88 × 9,865.17
  4. Step 4: Simplify right side
    41,029.92x = 607,150,703.83
  5. Step 5: Solve for x
    x = 607,150,703.83/41,029.92
  6. Step 6: Final answer
    x = 14,797.76

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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.