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Finding the Fourth Proportional to 27,419.40, 41,129.10 and 19,546.20

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Solution

The fourth proportional to 27,419.40, 41,129.10 and 19,546.20 is: 29,319.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,419.40 : 41,129.10 = 19,546.20 : x
  2. Step 2: Convert to fraction form
    27,419.40/41,129.10 = 19,546.20/x
  3. Step 3: Cross multiply
    27,419.40x = 41,129.10 × 19,546.20
  4. Step 4: Simplify right side
    27,419.40x = 803,917,614.42
  5. Step 5: Solve for x
    x = 803,917,614.42/27,419.40
  6. Step 6: Final answer
    x = 29,319.30

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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.