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Finding the Fourth Proportional to 58,099.68, 80,177.76 and 32,949

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Solution

The fourth proportional to 58,099.68, 80,177.76 and 32,949 is: 45,469.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,099.68 : 80,177.76 = 32,949 : x
  2. Step 2: Convert to fraction form
    58,099.68/80,177.76 = 32,949/x
  3. Step 3: Cross multiply
    58,099.68x = 80,177.76 × 32,949
  4. Step 4: Simplify right side
    58,099.68x = 2,641,777,014.24
  5. Step 5: Solve for x
    x = 2,641,777,014.24/58,099.68
  6. Step 6: Final answer
    x = 45,469.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.