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Finding the Fourth Proportional to 37,076.14, 51,164.76 and 20,309.14

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Solution

The fourth proportional to 37,076.14, 51,164.76 and 20,309.14 is: 28,026.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,076.14 : 51,164.76 = 20,309.14 : x
  2. Step 2: Convert to fraction form
    37,076.14/51,164.76 = 20,309.14/x
  3. Step 3: Cross multiply
    37,076.14x = 51,164.76 × 20,309.14
  4. Step 4: Simplify right side
    37,076.14x = 1,039,112,273.91
  5. Step 5: Solve for x
    x = 1,039,112,273.91/37,076.14
  6. Step 6: Final answer
    x = 28,026.44

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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.