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Finding the Fourth Proportional to 50,372.96, 75,510.23 and 20,811.47

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Solution

The fourth proportional to 50,372.96, 75,510.23 and 20,811.47 is: 31,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,372.96 : 75,510.23 = 20,811.47 : x
  2. Step 2: Convert to fraction form
    50,372.96/75,510.23 = 20,811.47/x
  3. Step 3: Cross multiply
    50,372.96x = 75,510.23 × 20,811.47
  4. Step 4: Simplify right side
    50,372.96x = 1,571,478,404.73
  5. Step 5: Solve for x
    x = 1,571,478,404.73/50,372.96
  6. Step 6: Final answer
    x = 31,196.87

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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.