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Finding the Fourth Proportional to 57,546.78, 86,320.17 and 32,905.50

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Solution

The fourth proportional to 57,546.78, 86,320.17 and 32,905.50 is: 49,358.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,546.78 : 86,320.17 = 32,905.50 : x
  2. Step 2: Convert to fraction form
    57,546.78/86,320.17 = 32,905.50/x
  3. Step 3: Cross multiply
    57,546.78x = 86,320.17 × 32,905.50
  4. Step 4: Simplify right side
    57,546.78x = 2,840,408,353.94
  5. Step 5: Solve for x
    x = 2,840,408,353.94/57,546.78
  6. Step 6: Final answer
    x = 49,358.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.