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Finding the Fourth Proportional to 110,552.91, 165,800.67 and 31,648.71

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Solution

The fourth proportional to 110,552.91, 165,800.67 and 31,648.71 is: 47,464.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,552.91 : 165,800.67 = 31,648.71 : x
  2. Step 2: Convert to fraction form
    110,552.91/165,800.67 = 31,648.71/x
  3. Step 3: Cross multiply
    110,552.91x = 165,800.67 × 31,648.71
  4. Step 4: Simplify right side
    110,552.91x = 5,247,377,322.64
  5. Step 5: Solve for x
    x = 5,247,377,322.64/110,552.91
  6. Step 6: Final answer
    x = 47,464.85

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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.