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Finding the Fourth Proportional to 54,832.32, 75,664.80 and 32,472

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Solution

The fourth proportional to 54,832.32, 75,664.80 and 32,472 is: 44,809.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,832.32 : 75,664.80 = 32,472 : x
  2. Step 2: Convert to fraction form
    54,832.32/75,664.80 = 32,472/x
  3. Step 3: Cross multiply
    54,832.32x = 75,664.80 × 32,472
  4. Step 4: Simplify right side
    54,832.32x = 2,456,987,385.60
  5. Step 5: Solve for x
    x = 2,456,987,385.60/54,832.32
  6. Step 6: Final answer
    x = 44,809.11

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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.