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Finding the Fourth Proportional to 75,707.68, 113,610.12 and 50,775.88

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Solution

The fourth proportional to 75,707.68, 113,610.12 and 50,775.88 is: 76,196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,707.68 : 113,610.12 = 50,775.88 : x
  2. Step 2: Convert to fraction form
    75,707.68/113,610.12 = 50,775.88/x
  3. Step 3: Cross multiply
    75,707.68x = 113,610.12 × 50,775.88
  4. Step 4: Simplify right side
    75,707.68x = 5,768,653,819.91
  5. Step 5: Solve for x
    x = 5,768,653,819.91/75,707.68
  6. Step 6: Final answer
    x = 76,196.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.