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Finding the Fourth Proportional to 30,816.56, 46,251.06 and 12,109.68

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Solution

The fourth proportional to 30,816.56, 46,251.06 and 12,109.68 is: 18,174.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,816.56 : 46,251.06 = 12,109.68 : x
  2. Step 2: Convert to fraction form
    30,816.56/46,251.06 = 12,109.68/x
  3. Step 3: Cross multiply
    30,816.56x = 46,251.06 × 12,109.68
  4. Step 4: Simplify right side
    30,816.56x = 560,085,536.26
  5. Step 5: Solve for x
    x = 560,085,536.26/30,816.56
  6. Step 6: Final answer
    x = 18,174.83

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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.