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Finding the Fourth Proportional to 54,883.08, 75,734.68 and 32,223

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Solution

The fourth proportional to 54,883.08, 75,734.68 and 32,223 is: 44,465.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,883.08 : 75,734.68 = 32,223 : x
  2. Step 2: Convert to fraction form
    54,883.08/75,734.68 = 32,223/x
  3. Step 3: Cross multiply
    54,883.08x = 75,734.68 × 32,223
  4. Step 4: Simplify right side
    54,883.08x = 2,440,398,593.64
  5. Step 5: Solve for x
    x = 2,440,398,593.64/54,883.08
  6. Step 6: Final answer
    x = 44,465.41

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