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Finding the Fourth Proportional to 67,053.60, 100,465.20 and 31,917.60

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Solution

The fourth proportional to 67,053.60, 100,465.20 and 31,917.60 is: 47,821.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,053.60 : 100,465.20 = 31,917.60 : x
  2. Step 2: Convert to fraction form
    67,053.60/100,465.20 = 31,917.60/x
  3. Step 3: Cross multiply
    67,053.60x = 100,465.20 × 31,917.60
  4. Step 4: Simplify right side
    67,053.60x = 3,206,608,067.52
  5. Step 5: Solve for x
    x = 3,206,608,067.52/67,053.60
  6. Step 6: Final answer
    x = 47,821.56

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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.