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Finding the Fourth Proportional to 106,456.82, 159,543.32 and 50,311.82

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Solution

The fourth proportional to 106,456.82, 159,543.32 and 50,311.82 is: 75,400.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,456.82 : 159,543.32 = 50,311.82 : x
  2. Step 2: Convert to fraction form
    106,456.82/159,543.32 = 50,311.82/x
  3. Step 3: Cross multiply
    106,456.82x = 159,543.32 × 50,311.82
  4. Step 4: Simplify right side
    106,456.82x = 8,026,914,798.04
  5. Step 5: Solve for x
    x = 8,026,914,798.04/106,456.82
  6. Step 6: Final answer
    x = 75,400.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.