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Finding the Fourth Proportional to 115,329, 172,993.68 and 32,223

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Solution

The fourth proportional to 115,329, 172,993.68 and 32,223 is: 48,334.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,329 : 172,993.68 = 32,223 : x
  2. Step 2: Convert to fraction form
    115,329/172,993.68 = 32,223/x
  3. Step 3: Cross multiply
    115,329x = 172,993.68 × 32,223
  4. Step 4: Simplify right side
    115,329x = 5,574,375,350.64
  5. Step 5: Solve for x
    x = 5,574,375,350.64/115,329
  6. Step 6: Final answer
    x = 48,334.55

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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.