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Finding the Fourth Proportional to 75,181.88, 103,691.13 and 48,327.14

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Solution

The fourth proportional to 75,181.88, 103,691.13 and 48,327.14 is: 66,652.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,181.88 : 103,691.13 = 48,327.14 : x
  2. Step 2: Convert to fraction form
    75,181.88/103,691.13 = 48,327.14/x
  3. Step 3: Cross multiply
    75,181.88x = 103,691.13 × 48,327.14
  4. Step 4: Simplify right side
    75,181.88x = 5,011,095,756.27
  5. Step 5: Solve for x
    x = 5,011,095,756.27/75,181.88
  6. Step 6: Final answer
    x = 66,652.97

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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.