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Finding the Fourth Proportional to 73,731.20, 110,575.20 and 34,278.80

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Solution

The fourth proportional to 73,731.20, 110,575.20 and 34,278.80 is: 51,408.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,731.20 : 110,575.20 = 34,278.80 : x
  2. Step 2: Convert to fraction form
    73,731.20/110,575.20 = 34,278.80/x
  3. Step 3: Cross multiply
    73,731.20x = 110,575.20 × 34,278.80
  4. Step 4: Simplify right side
    73,731.20x = 3,790,385,165.76
  5. Step 5: Solve for x
    x = 3,790,385,165.76/73,731.20
  6. Step 6: Final answer
    x = 51,408.16

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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.