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Finding the Fourth Proportional to 106,311.96, 159,483.50 and 38,847.33

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Solution

The fourth proportional to 106,311.96, 159,483.50 and 38,847.33 is: 58,276.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,311.96 : 159,483.50 = 38,847.33 : x
  2. Step 2: Convert to fraction form
    106,311.96/159,483.50 = 38,847.33/x
  3. Step 3: Cross multiply
    106,311.96x = 159,483.50 × 38,847.33
  4. Step 4: Simplify right side
    106,311.96x = 6,195,508,105.50
  5. Step 5: Solve for x
    x = 6,195,508,105.50/106,311.96
  6. Step 6: Final answer
    x = 58,276.68

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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.