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Finding the Fourth Proportional to 54,816.32, 75,642.72 and 32,456

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Solution

The fourth proportional to 54,816.32, 75,642.72 and 32,456 is: 44,787.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,816.32 : 75,642.72 = 32,456 : x
  2. Step 2: Convert to fraction form
    54,816.32/75,642.72 = 32,456/x
  3. Step 3: Cross multiply
    54,816.32x = 75,642.72 × 32,456
  4. Step 4: Simplify right side
    54,816.32x = 2,455,060,120.32
  5. Step 5: Solve for x
    x = 2,455,060,120.32/54,816.32
  6. Step 6: Final answer
    x = 44,787.03

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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.