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Finding the Fourth Proportional to 37,093.66, 51,188.70 and 20,097.43

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Solution

The fourth proportional to 37,093.66, 51,188.70 and 20,097.43 is: 27,734.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,093.66 : 51,188.70 = 20,097.43 : x
  2. Step 2: Convert to fraction form
    37,093.66/51,188.70 = 20,097.43/x
  3. Step 3: Cross multiply
    37,093.66x = 51,188.70 × 20,097.43
  4. Step 4: Simplify right side
    37,093.66x = 1,028,761,315.04
  5. Step 5: Solve for x
    x = 1,028,761,315.04/37,093.66
  6. Step 6: Final answer
    x = 27,734.15

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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.