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Finding the Fourth Proportional to 106,510.98, 159,744.60 and 50,327.22

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Solution

The fourth proportional to 106,510.98, 159,744.60 and 50,327.22 is: 75,480.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,510.98 : 159,744.60 = 50,327.22 : x
  2. Step 2: Convert to fraction form
    106,510.98/159,744.60 = 50,327.22/x
  3. Step 3: Cross multiply
    106,510.98x = 159,744.60 × 50,327.22
  4. Step 4: Simplify right side
    106,510.98x = 8,039,501,628.01
  5. Step 5: Solve for x
    x = 8,039,501,628.01/106,510.98
  6. Step 6: Final answer
    x = 75,480.50

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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.