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Finding the Fourth Proportional to 77,251.50, 106,610.31 and 43,717.50

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Solution

The fourth proportional to 77,251.50, 106,610.31 and 43,717.50 is: 60,331.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,251.50 : 106,610.31 = 43,717.50 : x
  2. Step 2: Convert to fraction form
    77,251.50/106,610.31 = 43,717.50/x
  3. Step 3: Cross multiply
    77,251.50x = 106,610.31 × 43,717.50
  4. Step 4: Simplify right side
    77,251.50x = 4,660,736,227.43
  5. Step 5: Solve for x
    x = 4,660,736,227.43/77,251.50
  6. Step 6: Final answer
    x = 60,331.98

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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.