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Finding the Fourth Proportional to 77,049.50, 106,327.99 and 43,057.97

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Solution

The fourth proportional to 77,049.50, 106,327.99 and 43,057.97 is: 59,419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,049.50 : 106,327.99 = 43,057.97 : x
  2. Step 2: Convert to fraction form
    77,049.50/106,327.99 = 43,057.97/x
  3. Step 3: Cross multiply
    77,049.50x = 106,327.99 × 43,057.97
  4. Step 4: Simplify right side
    77,049.50x = 4,578,267,188.29
  5. Step 5: Solve for x
    x = 4,578,267,188.29/77,049.50
  6. Step 6: Final answer
    x = 59,419.82

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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.