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Finding the Fourth Proportional to 106,318.68, 159,485.04 and 35,241

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Solution

The fourth proportional to 106,318.68, 159,485.04 and 35,241 is: 52,863.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,318.68 : 159,485.04 = 35,241 : x
  2. Step 2: Convert to fraction form
    106,318.68/159,485.04 = 35,241/x
  3. Step 3: Cross multiply
    106,318.68x = 159,485.04 × 35,241
  4. Step 4: Simplify right side
    106,318.68x = 5,620,412,294.64
  5. Step 5: Solve for x
    x = 5,620,412,294.64/106,318.68
  6. Step 6: Final answer
    x = 52,863.83

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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.