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Finding the Fourth Proportional to 35,535.57, 49,023.68 and 20,424.75

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Solution

The fourth proportional to 35,535.57, 49,023.68 and 20,424.75 is: 28,177.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,535.57 : 49,023.68 = 20,424.75 : x
  2. Step 2: Convert to fraction form
    35,535.57/49,023.68 = 20,424.75/x
  3. Step 3: Cross multiply
    35,535.57x = 49,023.68 × 20,424.75
  4. Step 4: Simplify right side
    35,535.57x = 1,001,296,305.96
  5. Step 5: Solve for x
    x = 1,001,296,305.96/35,535.57
  6. Step 6: Final answer
    x = 28,177.30

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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.