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Finding the Fourth Proportional to 75,846.39, 113,793.92 and 36,406.28

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Solution

The fourth proportional to 75,846.39, 113,793.92 and 36,406.28 is: 54,621.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,846.39 : 113,793.92 = 36,406.28 : x
  2. Step 2: Convert to fraction form
    75,846.39/113,793.92 = 36,406.28/x
  3. Step 3: Cross multiply
    75,846.39x = 113,793.92 × 36,406.28
  4. Step 4: Simplify right side
    75,846.39x = 4,142,812,562.82
  5. Step 5: Solve for x
    x = 4,142,812,562.82/75,846.39
  6. Step 6: Final answer
    x = 54,621.09

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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.