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Finding the Fourth Proportional to 75,446.69, 113,169.26 and 30,467.28

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Solution

The fourth proportional to 75,446.69, 113,169.26 and 30,467.28 is: 45,700.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,446.69 : 113,169.26 = 30,467.28 : x
  2. Step 2: Convert to fraction form
    75,446.69/113,169.26 = 30,467.28/x
  3. Step 3: Cross multiply
    75,446.69x = 113,169.26 × 30,467.28
  4. Step 4: Simplify right side
    75,446.69x = 3,447,959,607.98
  5. Step 5: Solve for x
    x = 3,447,959,607.98/75,446.69
  6. Step 6: Final answer
    x = 45,700.61

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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.