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Finding the Fourth Proportional to 75,860.50, 113,841.48 and 31,487.26

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Solution

The fourth proportional to 75,860.50, 113,841.48 and 31,487.26 is: 47,251.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,860.50 : 113,841.48 = 31,487.26 : x
  2. Step 2: Convert to fraction form
    75,860.50/113,841.48 = 31,487.26/x
  3. Step 3: Cross multiply
    75,860.50x = 113,841.48 × 31,487.26
  4. Step 4: Simplify right side
    75,860.50x = 3,584,555,740.62
  5. Step 5: Solve for x
    x = 3,584,555,740.62/75,860.50
  6. Step 6: Final answer
    x = 47,251.94

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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.