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Finding the Fourth Proportional to 50,106.59, 75,159.83 and 20,524.47

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Solution

The fourth proportional to 50,106.59, 75,159.83 and 20,524.47 is: 30,786.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,106.59 : 75,159.83 = 20,524.47 : x
  2. Step 2: Convert to fraction form
    50,106.59/75,159.83 = 20,524.47/x
  3. Step 3: Cross multiply
    50,106.59x = 75,159.83 × 20,524.47
  4. Step 4: Simplify right side
    50,106.59x = 1,542,615,573.42
  5. Step 5: Solve for x
    x = 1,542,615,573.42/50,106.59
  6. Step 6: Final answer
    x = 30,786.68

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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.