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Finding the Fourth Proportional to 50,575.96, 75,826.50 and 24,255.64

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Solution

The fourth proportional to 50,575.96, 75,826.50 and 24,255.64 is: 36,365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,575.96 : 75,826.50 = 24,255.64 : x
  2. Step 2: Convert to fraction form
    50,575.96/75,826.50 = 24,255.64/x
  3. Step 3: Cross multiply
    50,575.96x = 75,826.50 × 24,255.64
  4. Step 4: Simplify right side
    50,575.96x = 1,839,220,286.46
  5. Step 5: Solve for x
    x = 1,839,220,286.46/50,575.96
  6. Step 6: Final answer
    x = 36,365.50

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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.