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Finding the Fourth Proportional to 37,138.49, 55,713.89 and 18,419.14

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Solution

The fourth proportional to 37,138.49, 55,713.89 and 18,419.14 is: 27,631.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,138.49 : 55,713.89 = 18,419.14 : x
  2. Step 2: Convert to fraction form
    37,138.49/55,713.89 = 18,419.14/x
  3. Step 3: Cross multiply
    37,138.49x = 55,713.89 × 18,419.14
  4. Step 4: Simplify right side
    37,138.49x = 1,026,201,708.47
  5. Step 5: Solve for x
    x = 1,026,201,708.47/37,138.49
  6. Step 6: Final answer
    x = 27,631.75

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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.