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Finding the Fourth Proportional to 107,286.45, 160,944.70 and 32,398.10

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Solution

The fourth proportional to 107,286.45, 160,944.70 and 32,398.10 is: 48,601.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,286.45 : 160,944.70 = 32,398.10 : x
  2. Step 2: Convert to fraction form
    107,286.45/160,944.70 = 32,398.10/x
  3. Step 3: Cross multiply
    107,286.45x = 160,944.70 × 32,398.10
  4. Step 4: Simplify right side
    107,286.45x = 5,214,302,485.07
  5. Step 5: Solve for x
    x = 5,214,302,485.07/107,286.45
  6. Step 6: Final answer
    x = 48,601.69

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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.