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Finding the Fourth Proportional to 115,563.48, 173,351.70 and 32,451

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Solution

The fourth proportional to 115,563.48, 173,351.70 and 32,451 is: 48,678.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,563.48 : 173,351.70 = 32,451 : x
  2. Step 2: Convert to fraction form
    115,563.48/173,351.70 = 32,451/x
  3. Step 3: Cross multiply
    115,563.48x = 173,351.70 × 32,451
  4. Step 4: Simplify right side
    115,563.48x = 5,625,436,016.70
  5. Step 5: Solve for x
    x = 5,625,436,016.70/115,563.48
  6. Step 6: Final answer
    x = 48,678.32

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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.