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Finding the Fourth Proportional to 50,462.94, 75,637.84 and 20,470.21

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Solution

The fourth proportional to 50,462.94, 75,637.84 and 20,470.21 is: 30,682.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,462.94 : 75,637.84 = 20,470.21 : x
  2. Step 2: Convert to fraction form
    50,462.94/75,637.84 = 20,470.21/x
  3. Step 3: Cross multiply
    50,462.94x = 75,637.84 × 20,470.21
  4. Step 4: Simplify right side
    50,462.94x = 1,548,322,820.80
  5. Step 5: Solve for x
    x = 1,548,322,820.80/50,462.94
  6. Step 6: Final answer
    x = 30,682.37

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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.