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Finding the Fourth Proportional to 50,540.04, 75,816 and 20,954.16

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Solution

The fourth proportional to 50,540.04, 75,816 and 20,954.16 is: 31,433.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,540.04 : 75,816 = 20,954.16 : x
  2. Step 2: Convert to fraction form
    50,540.04/75,816 = 20,954.16/x
  3. Step 3: Cross multiply
    50,540.04x = 75,816 × 20,954.16
  4. Step 4: Simplify right side
    50,540.04x = 1,588,660,594.56
  5. Step 5: Solve for x
    x = 1,588,660,594.56/50,540.04
  6. Step 6: Final answer
    x = 31,433.70

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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.