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Finding the Fourth Proportional to 54,381.30, 81,568.66 and 32,334.97

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Solution

The fourth proportional to 54,381.30, 81,568.66 and 32,334.97 is: 48,500.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,381.30 : 81,568.66 = 32,334.97 : x
  2. Step 2: Convert to fraction form
    54,381.30/81,568.66 = 32,334.97/x
  3. Step 3: Cross multiply
    54,381.30x = 81,568.66 × 32,334.97
  4. Step 4: Simplify right side
    54,381.30x = 2,637,520,174.04
  5. Step 5: Solve for x
    x = 2,637,520,174.04/54,381.30
  6. Step 6: Final answer
    x = 48,500.50

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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.