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Finding the Fourth Proportional to 77,707.78, 107,236.57 and 43,716.29

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Solution

The fourth proportional to 77,707.78, 107,236.57 and 43,716.29 is: 60,328.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,707.78 : 107,236.57 = 43,716.29 : x
  2. Step 2: Convert to fraction form
    77,707.78/107,236.57 = 43,716.29/x
  3. Step 3: Cross multiply
    77,707.78x = 107,236.57 × 43,716.29
  4. Step 4: Simplify right side
    77,707.78x = 4,687,984,992.73
  5. Step 5: Solve for x
    x = 4,687,984,992.73/77,707.78
  6. Step 6: Final answer
    x = 60,328.39

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Why These Related Problems?

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