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Finding the Fourth Proportional to 54,832.32, 82,282.32 and 21,546.54

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Solution

The fourth proportional to 54,832.32, 82,282.32 and 21,546.54 is: 32,333.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,832.32 : 82,282.32 = 21,546.54 : x
  2. Step 2: Convert to fraction form
    54,832.32/82,282.32 = 21,546.54/x
  3. Step 3: Cross multiply
    54,832.32x = 82,282.32 × 21,546.54
  4. Step 4: Simplify right side
    54,832.32x = 1,772,899,299.17
  5. Step 5: Solve for x
    x = 1,772,899,299.17/54,832.32
  6. Step 6: Final answer
    x = 32,333.11

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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.