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Finding the Fourth Proportional to 50,494.72, 75,658.38 and 30,713.44

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Solution

The fourth proportional to 50,494.72, 75,658.38 and 30,713.44 is: 46,019.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,494.72 : 75,658.38 = 30,713.44 : x
  2. Step 2: Convert to fraction form
    50,494.72/75,658.38 = 30,713.44/x
  3. Step 3: Cross multiply
    50,494.72x = 75,658.38 × 30,713.44
  4. Step 4: Simplify right side
    50,494.72x = 2,323,729,114.63
  5. Step 5: Solve for x
    x = 2,323,729,114.63/50,494.72
  6. Step 6: Final answer
    x = 46,019.25

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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.