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Finding the Fourth Proportional to 54,665.32, 75,434.34 and 32,305

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Solution

The fourth proportional to 54,665.32, 75,434.34 and 32,305 is: 44,578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,665.32 : 75,434.34 = 32,305 : x
  2. Step 2: Convert to fraction form
    54,665.32/75,434.34 = 32,305/x
  3. Step 3: Cross multiply
    54,665.32x = 75,434.34 × 32,305
  4. Step 4: Simplify right side
    54,665.32x = 2,436,906,353.70
  5. Step 5: Solve for x
    x = 2,436,906,353.70/54,665.32
  6. Step 6: Final answer
    x = 44,578.65

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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.