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Finding the Fourth Proportional to 105,691.70, 158,553.94 and 35,565.54

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Solution

The fourth proportional to 105,691.70, 158,553.94 and 35,565.54 is: 53,353.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,691.70 : 158,553.94 = 35,565.54 : x
  2. Step 2: Convert to fraction form
    105,691.70/158,553.94 = 35,565.54/x
  3. Step 3: Cross multiply
    105,691.70x = 158,553.94 × 35,565.54
  4. Step 4: Simplify right side
    105,691.70x = 5,639,056,495.23
  5. Step 5: Solve for x
    x = 5,639,056,495.23/105,691.70
  6. Step 6: Final answer
    x = 53,353.83

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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.