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Finding the Fourth Proportional to 35,947.94, 49,634.54 and 23,208.54

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Solution

The fourth proportional to 35,947.94, 49,634.54 and 23,208.54 is: 32,044.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,947.94 : 49,634.54 = 23,208.54 : x
  2. Step 2: Convert to fraction form
    35,947.94/49,634.54 = 23,208.54/x
  3. Step 3: Cross multiply
    35,947.94x = 49,634.54 × 23,208.54
  4. Step 4: Simplify right side
    35,947.94x = 1,151,945,206.97
  5. Step 5: Solve for x
    x = 1,151,945,206.97/35,947.94
  6. Step 6: Final answer
    x = 32,044.82

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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.