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Finding the Fourth Proportional to 35,650.64, 49,195.76 and 19,734.14

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Solution

The fourth proportional to 35,650.64, 49,195.76 and 19,734.14 is: 27,231.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,650.64 : 49,195.76 = 19,734.14 : x
  2. Step 2: Convert to fraction form
    35,650.64/49,195.76 = 19,734.14/x
  3. Step 3: Cross multiply
    35,650.64x = 49,195.76 × 19,734.14
  4. Step 4: Simplify right side
    35,650.64x = 970,836,015.25
  5. Step 5: Solve for x
    x = 970,836,015.25/35,650.64
  6. Step 6: Final answer
    x = 27,231.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.