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Finding the Fourth Proportional to 97,882.60, 146,807.28 and 27,745.50

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Solution

The fourth proportional to 97,882.60, 146,807.28 and 27,745.50 is: 41,613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,882.60 : 146,807.28 = 27,745.50 : x
  2. Step 2: Convert to fraction form
    97,882.60/146,807.28 = 27,745.50/x
  3. Step 3: Cross multiply
    97,882.60x = 146,807.28 × 27,745.50
  4. Step 4: Simplify right side
    97,882.60x = 4,073,241,387.24
  5. Step 5: Solve for x
    x = 4,073,241,387.24/97,882.60
  6. Step 6: Final answer
    x = 41,613.54

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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.