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Finding the Fourth Proportional to 73,878.12, 101,952.36 and 42,049.44

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Solution

The fourth proportional to 73,878.12, 101,952.36 and 42,049.44 is: 58,028.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,878.12 : 101,952.36 = 42,049.44 : x
  2. Step 2: Convert to fraction form
    73,878.12/101,952.36 = 42,049.44/x
  3. Step 3: Cross multiply
    73,878.12x = 101,952.36 × 42,049.44
  4. Step 4: Simplify right side
    73,878.12x = 4,287,039,644.68
  5. Step 5: Solve for x
    x = 4,287,039,644.68/73,878.12
  6. Step 6: Final answer
    x = 58,028.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.