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Finding the Fourth Proportional to 88,122.51, 132,183.77 and 31,949.88

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Solution

The fourth proportional to 88,122.51, 132,183.77 and 31,949.88 is: 47,924.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,122.51 : 132,183.77 = 31,949.88 : x
  2. Step 2: Convert to fraction form
    88,122.51/132,183.77 = 31,949.88/x
  3. Step 3: Cross multiply
    88,122.51x = 132,183.77 × 31,949.88
  4. Step 4: Simplify right side
    88,122.51x = 4,223,255,429.70
  5. Step 5: Solve for x
    x = 4,223,255,429.70/88,122.51
  6. Step 6: Final answer
    x = 47,924.82

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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.