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Finding the Fourth Proportional to 75,843.42, 113,723.37 and 29,101.02

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Solution

The fourth proportional to 75,843.42, 113,723.37 and 29,101.02 is: 43,635.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,843.42 : 113,723.37 = 29,101.02 : x
  2. Step 2: Convert to fraction form
    75,843.42/113,723.37 = 29,101.02/x
  3. Step 3: Cross multiply
    75,843.42x = 113,723.37 × 29,101.02
  4. Step 4: Simplify right side
    75,843.42x = 3,309,466,064.84
  5. Step 5: Solve for x
    x = 3,309,466,064.84/75,843.42
  6. Step 6: Final answer
    x = 43,635.51

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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.