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Finding the Fourth Proportional to 75,657.87, 113,468.58 and 33,514.65

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Solution

The fourth proportional to 75,657.87, 113,468.58 and 33,514.65 is: 50,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,657.87 : 113,468.58 = 33,514.65 : x
  2. Step 2: Convert to fraction form
    75,657.87/113,468.58 = 33,514.65/x
  3. Step 3: Cross multiply
    75,657.87x = 113,468.58 × 33,514.65
  4. Step 4: Simplify right side
    75,657.87x = 3,802,859,744.70
  5. Step 5: Solve for x
    x = 3,802,859,744.70/75,657.87
  6. Step 6: Final answer
    x = 50,263.90

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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.