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Finding the Fourth Proportional to 35,856.64, 49,481.76 and 19,942.48

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Solution

The fourth proportional to 35,856.64, 49,481.76 and 19,942.48 is: 27,520.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,856.64 : 49,481.76 = 19,942.48 : x
  2. Step 2: Convert to fraction form
    35,856.64/49,481.76 = 19,942.48/x
  3. Step 3: Cross multiply
    35,856.64x = 49,481.76 × 19,942.48
  4. Step 4: Simplify right side
    35,856.64x = 986,789,009.16
  5. Step 5: Solve for x
    x = 986,789,009.16/35,856.64
  6. Step 6: Final answer
    x = 27,520.40

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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.