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Finding the Fourth Proportional to 73,488.64, 110,221.15 and 20,168.16

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Solution

The fourth proportional to 73,488.64, 110,221.15 and 20,168.16 is: 30,249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,488.64 : 110,221.15 = 20,168.16 : x
  2. Step 2: Convert to fraction form
    73,488.64/110,221.15 = 20,168.16/x
  3. Step 3: Cross multiply
    73,488.64x = 110,221.15 × 20,168.16
  4. Step 4: Simplify right side
    73,488.64x = 2,222,957,788.58
  5. Step 5: Solve for x
    x = 2,222,957,788.58/73,488.64
  6. Step 6: Final answer
    x = 30,249.00

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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.