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Finding the Fourth Proportional to 115,816.96, 173,732.16 and 32,704

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Solution

The fourth proportional to 115,816.96, 173,732.16 and 32,704 is: 49,057.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,816.96 : 173,732.16 = 32,704 : x
  2. Step 2: Convert to fraction form
    115,816.96/173,732.16 = 32,704/x
  3. Step 3: Cross multiply
    115,816.96x = 173,732.16 × 32,704
  4. Step 4: Simplify right side
    115,816.96x = 5,681,736,560.64
  5. Step 5: Solve for x
    x = 5,681,736,560.64/115,816.96
  6. Step 6: Final answer
    x = 49,057.90

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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.