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Finding the Fourth Proportional to 35,992.30, 49,669.34 and 20,076.74

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Solution

The fourth proportional to 35,992.30, 49,669.34 and 20,076.74 is: 27,705.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,992.30 : 49,669.34 = 20,076.74 : x
  2. Step 2: Convert to fraction form
    35,992.30/49,669.34 = 20,076.74/x
  3. Step 3: Cross multiply
    35,992.30x = 49,669.34 × 20,076.74
  4. Step 4: Simplify right side
    35,992.30x = 997,198,425.15
  5. Step 5: Solve for x
    x = 997,198,425.15/35,992.30
  6. Step 6: Final answer
    x = 27,705.88

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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.