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Finding the Fourth Proportional to 50,482.08, 75,744 and 20,905.92

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Solution

The fourth proportional to 50,482.08, 75,744 and 20,905.92 is: 31,367.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,482.08 : 75,744 = 20,905.92 : x
  2. Step 2: Convert to fraction form
    50,482.08/75,744 = 20,905.92/x
  3. Step 3: Cross multiply
    50,482.08x = 75,744 × 20,905.92
  4. Step 4: Simplify right side
    50,482.08x = 1,583,498,004.48
  5. Step 5: Solve for x
    x = 1,583,498,004.48/50,482.08
  6. Step 6: Final answer
    x = 31,367.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.