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Finding the Fourth Proportional to 77,231.96, 115,861.16 and 32,859.08

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Solution

The fourth proportional to 77,231.96, 115,861.16 and 32,859.08 is: 49,294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,231.96 : 115,861.16 = 32,859.08 : x
  2. Step 2: Convert to fraction form
    77,231.96/115,861.16 = 32,859.08/x
  3. Step 3: Cross multiply
    77,231.96x = 115,861.16 × 32,859.08
  4. Step 4: Simplify right side
    77,231.96x = 3,807,091,125.33
  5. Step 5: Solve for x
    x = 3,807,091,125.33/77,231.96
  6. Step 6: Final answer
    x = 49,294.24

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Why These Related Problems?

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