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Finding the Fourth Proportional to 54,693.78, 82,009.35 and 32,522.64

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Solution

The fourth proportional to 54,693.78, 82,009.35 and 32,522.64 is: 48,765.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,693.78 : 82,009.35 = 32,522.64 : x
  2. Step 2: Convert to fraction form
    54,693.78/82,009.35 = 32,522.64/x
  3. Step 3: Cross multiply
    54,693.78x = 82,009.35 × 32,522.64
  4. Step 4: Simplify right side
    54,693.78x = 2,667,160,566.68
  5. Step 5: Solve for x
    x = 2,667,160,566.68/54,693.78
  6. Step 6: Final answer
    x = 48,765.34

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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.