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Finding the Fourth Proportional to 35,947.98, 49,608.26 and 20,032.08

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Solution

The fourth proportional to 35,947.98, 49,608.26 and 20,032.08 is: 27,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,947.98 : 49,608.26 = 20,032.08 : x
  2. Step 2: Convert to fraction form
    35,947.98/49,608.26 = 20,032.08/x
  3. Step 3: Cross multiply
    35,947.98x = 49,608.26 × 20,032.08
  4. Step 4: Simplify right side
    35,947.98x = 993,756,632.98
  5. Step 5: Solve for x
    x = 993,756,632.98/35,947.98
  6. Step 6: Final answer
    x = 27,644.30

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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.