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Finding the Fourth Proportional to 77,221.09, 115,806.97 and 24,618.25

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Solution

The fourth proportional to 77,221.09, 115,806.97 and 24,618.25 is: 36,919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,221.09 : 115,806.97 = 24,618.25 : x
  2. Step 2: Convert to fraction form
    77,221.09/115,806.97 = 24,618.25/x
  3. Step 3: Cross multiply
    77,221.09x = 115,806.97 × 24,618.25
  4. Step 4: Simplify right side
    77,221.09x = 2,850,964,939.20
  5. Step 5: Solve for x
    x = 2,850,964,939.20/77,221.09
  6. Step 6: Final answer
    x = 36,919.51

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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.