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Finding the Fourth Proportional to 35,822.70, 49,435.38 and 19,906.74

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Solution

The fourth proportional to 35,822.70, 49,435.38 and 19,906.74 is: 27,471.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,822.70 : 49,435.38 = 19,906.74 : x
  2. Step 2: Convert to fraction form
    35,822.70/49,435.38 = 19,906.74/x
  3. Step 3: Cross multiply
    35,822.70x = 49,435.38 × 19,906.74
  4. Step 4: Simplify right side
    35,822.70x = 984,097,256.46
  5. Step 5: Solve for x
    x = 984,097,256.46/35,822.70
  6. Step 6: Final answer
    x = 27,471.33

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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.