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Finding the Fourth Proportional to 37,021.20, 51,088.84 and 20,254

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Solution

The fourth proportional to 37,021.20, 51,088.84 and 20,254 is: 27,950.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,021.20 : 51,088.84 = 20,254 : x
  2. Step 2: Convert to fraction form
    37,021.20/51,088.84 = 20,254/x
  3. Step 3: Cross multiply
    37,021.20x = 51,088.84 × 20,254
  4. Step 4: Simplify right side
    37,021.20x = 1,034,753,365.36
  5. Step 5: Solve for x
    x = 1,034,753,365.36/37,021.20
  6. Step 6: Final answer
    x = 27,950.29

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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.