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Finding the Fourth Proportional to 35,546.34, 49,049.60 and 22,621.16

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Solution

The fourth proportional to 35,546.34, 49,049.60 and 22,621.16 is: 31,214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,546.34 : 49,049.60 = 22,621.16 : x
  2. Step 2: Convert to fraction form
    35,546.34/49,049.60 = 22,621.16/x
  3. Step 3: Cross multiply
    35,546.34x = 49,049.60 × 22,621.16
  4. Step 4: Simplify right side
    35,546.34x = 1,109,558,849.54
  5. Step 5: Solve for x
    x = 1,109,558,849.54/35,546.34
  6. Step 6: Final answer
    x = 31,214.43

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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.