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Finding the Fourth Proportional to 41,785.47, 62,684.07 and 12,205.47

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Solution

The fourth proportional to 41,785.47, 62,684.07 and 12,205.47 is: 18,309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,785.47 : 62,684.07 = 12,205.47 : x
  2. Step 2: Convert to fraction form
    41,785.47/62,684.07 = 12,205.47/x
  3. Step 3: Cross multiply
    41,785.47x = 62,684.07 × 12,205.47
  4. Step 4: Simplify right side
    41,785.47x = 765,088,535.86
  5. Step 5: Solve for x
    x = 765,088,535.86/41,785.47
  6. Step 6: Final answer
    x = 18,309.92

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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.