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Finding the Fourth Proportional to 75,351.98, 113,022.49 and 30,376.32

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Solution

The fourth proportional to 75,351.98, 113,022.49 and 30,376.32 is: 45,562.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,351.98 : 113,022.49 = 30,376.32 : x
  2. Step 2: Convert to fraction form
    75,351.98/113,022.49 = 30,376.32/x
  3. Step 3: Cross multiply
    75,351.98x = 113,022.49 × 30,376.32
  4. Step 4: Simplify right side
    75,351.98x = 3,433,207,171.56
  5. Step 5: Solve for x
    x = 3,433,207,171.56/75,351.98
  6. Step 6: Final answer
    x = 45,562.27

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Why These Related Problems?

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