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Finding the Fourth Proportional to 37,019.20, 51,086.08 and 20,252

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Solution

The fourth proportional to 37,019.20, 51,086.08 and 20,252 is: 27,947.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,019.20 : 51,086.08 = 20,252 : x
  2. Step 2: Convert to fraction form
    37,019.20/51,086.08 = 20,252/x
  3. Step 3: Cross multiply
    37,019.20x = 51,086.08 × 20,252
  4. Step 4: Simplify right side
    37,019.20x = 1,034,595,292.16
  5. Step 5: Solve for x
    x = 1,034,595,292.16/37,019.20
  6. Step 6: Final answer
    x = 27,947.53

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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.