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Finding the Fourth Proportional to 75,952.67, 113,866.11 and 47,864.75

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Solution

The fourth proportional to 75,952.67, 113,866.11 and 47,864.75 is: 71,757.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,952.67 : 113,866.11 = 47,864.75 : x
  2. Step 2: Convert to fraction form
    75,952.67/113,866.11 = 47,864.75/x
  3. Step 3: Cross multiply
    75,952.67x = 113,866.11 × 47,864.75
  4. Step 4: Simplify right side
    75,952.67x = 5,450,172,319.29
  5. Step 5: Solve for x
    x = 5,450,172,319.29/75,952.67
  6. Step 6: Final answer
    x = 71,757.49

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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.