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Finding the Fourth Proportional to 75,234.87, 112,816.94 and 27,817.20

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Solution

The fourth proportional to 75,234.87, 112,816.94 and 27,817.20 is: 41,712.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,234.87 : 112,816.94 = 27,817.20 : x
  2. Step 2: Convert to fraction form
    75,234.87/112,816.94 = 27,817.20/x
  3. Step 3: Cross multiply
    75,234.87x = 112,816.94 × 27,817.20
  4. Step 4: Simplify right side
    75,234.87x = 3,138,251,244.28
  5. Step 5: Solve for x
    x = 3,138,251,244.28/75,234.87
  6. Step 6: Final answer
    x = 41,712.72

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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.