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Finding the Fourth Proportional to 30,013.40, 41,446.14 and 20,106.20

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Solution

The fourth proportional to 30,013.40, 41,446.14 and 20,106.20 is: 27,765.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,013.40 : 41,446.14 = 20,106.20 : x
  2. Step 2: Convert to fraction form
    30,013.40/41,446.14 = 20,106.20/x
  3. Step 3: Cross multiply
    30,013.40x = 41,446.14 × 20,106.20
  4. Step 4: Simplify right side
    30,013.40x = 833,324,380.07
  5. Step 5: Solve for x
    x = 833,324,380.07/30,013.40
  6. Step 6: Final answer
    x = 27,765.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.