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Finding the Fourth Proportional to 54,993.15, 75,892.23 and 32,328

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Solution

The fourth proportional to 54,993.15, 75,892.23 and 32,328 is: 44,613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,993.15 : 75,892.23 = 32,328 : x
  2. Step 2: Convert to fraction form
    54,993.15/75,892.23 = 32,328/x
  3. Step 3: Cross multiply
    54,993.15x = 75,892.23 × 32,328
  4. Step 4: Simplify right side
    54,993.15x = 2,453,444,011.44
  5. Step 5: Solve for x
    x = 2,453,444,011.44/54,993.15
  6. Step 6: Final answer
    x = 44,613.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.