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Finding the Fourth Proportional to 35,652.92, 49,200.75 and 19,738.31

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Solution

The fourth proportional to 35,652.92, 49,200.75 and 19,738.31 is: 27,238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,652.92 : 49,200.75 = 19,738.31 : x
  2. Step 2: Convert to fraction form
    35,652.92/49,200.75 = 19,738.31/x
  3. Step 3: Cross multiply
    35,652.92x = 49,200.75 × 19,738.31
  4. Step 4: Simplify right side
    35,652.92x = 971,139,409.73
  5. Step 5: Solve for x
    x = 971,139,409.73/35,652.92
  6. Step 6: Final answer
    x = 27,238.71

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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.