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Finding the Fourth Proportional to 106,543.80, 159,742.80 and 50,410.80

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Solution

The fourth proportional to 106,543.80, 159,742.80 and 50,410.80 is: 75,581.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,543.80 : 159,742.80 = 50,410.80 : x
  2. Step 2: Convert to fraction form
    106,543.80/159,742.80 = 50,410.80/x
  3. Step 3: Cross multiply
    106,543.80x = 159,742.80 × 50,410.80
  4. Step 4: Simplify right side
    106,543.80x = 8,052,762,342.24
  5. Step 5: Solve for x
    x = 8,052,762,342.24/106,543.80
  6. Step 6: Final answer
    x = 75,581.71

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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.