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Finding the Fourth Proportional to 37,018, 51,086.06 and 20,251

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Solution

The fourth proportional to 37,018, 51,086.06 and 20,251 is: 27,947.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,018 : 51,086.06 = 20,251 : x
  2. Step 2: Convert to fraction form
    37,018/51,086.06 = 20,251/x
  3. Step 3: Cross multiply
    37,018x = 51,086.06 × 20,251
  4. Step 4: Simplify right side
    37,018x = 1,034,543,801.06
  5. Step 5: Solve for x
    x = 1,034,543,801.06/37,018
  6. Step 6: Final answer
    x = 27,947.05

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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.