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Finding the Fourth Proportional to 54,664.32, 75,432.96 and 32,304

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Solution

The fourth proportional to 54,664.32, 75,432.96 and 32,304 is: 44,577.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,664.32 : 75,432.96 = 32,304 : x
  2. Step 2: Convert to fraction form
    54,664.32/75,432.96 = 32,304/x
  3. Step 3: Cross multiply
    54,664.32x = 75,432.96 × 32,304
  4. Step 4: Simplify right side
    54,664.32x = 2,436,786,339.84
  5. Step 5: Solve for x
    x = 2,436,786,339.84/54,664.32
  6. Step 6: Final answer
    x = 44,577.27

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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.