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Finding the Fourth Proportional to 57,787.08, 86,609.70 and 32,848

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Solution

The fourth proportional to 57,787.08, 86,609.70 and 32,848 is: 49,231.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,787.08 : 86,609.70 = 32,848 : x
  2. Step 2: Convert to fraction form
    57,787.08/86,609.70 = 32,848/x
  3. Step 3: Cross multiply
    57,787.08x = 86,609.70 × 32,848
  4. Step 4: Simplify right side
    57,787.08x = 2,844,955,425.60
  5. Step 5: Solve for x
    x = 2,844,955,425.60/57,787.08
  6. Step 6: Final answer
    x = 49,231.69

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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.