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Finding the Fourth Proportional to 50,542.96, 75,777 and 24,222.64

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Solution

The fourth proportional to 50,542.96, 75,777 and 24,222.64 is: 36,316.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,542.96 : 75,777 = 24,222.64 : x
  2. Step 2: Convert to fraction form
    50,542.96/75,777 = 24,222.64/x
  3. Step 3: Cross multiply
    50,542.96x = 75,777 × 24,222.64
  4. Step 4: Simplify right side
    50,542.96x = 1,835,518,991.28
  5. Step 5: Solve for x
    x = 1,835,518,991.28/50,542.96
  6. Step 6: Final answer
    x = 36,316.02

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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.