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Finding the Fourth Proportional to 30,166.93, 45,256.90 and 9,105.21

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Solution

The fourth proportional to 30,166.93, 45,256.90 and 9,105.21 is: 13,659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,166.93 : 45,256.90 = 9,105.21 : x
  2. Step 2: Convert to fraction form
    30,166.93/45,256.90 = 9,105.21/x
  3. Step 3: Cross multiply
    30,166.93x = 45,256.90 × 9,105.21
  4. Step 4: Simplify right side
    30,166.93x = 412,073,578.45
  5. Step 5: Solve for x
    x = 412,073,578.45/30,166.93
  6. Step 6: Final answer
    x = 13,659.78

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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.