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Finding the Fourth Proportional to 35,768.72, 49,378.60 and 22,347.42

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Solution

The fourth proportional to 35,768.72, 49,378.60 and 22,347.42 is: 30,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,768.72 : 49,378.60 = 22,347.42 : x
  2. Step 2: Convert to fraction form
    35,768.72/49,378.60 = 22,347.42/x
  3. Step 3: Cross multiply
    35,768.72x = 49,378.60 × 22,347.42
  4. Step 4: Simplify right side
    35,768.72x = 1,103,484,313.21
  5. Step 5: Solve for x
    x = 1,103,484,313.21/35,768.72
  6. Step 6: Final answer
    x = 30,850.54

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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.