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Finding the Fourth Proportional to 50,494.34, 75,825.47 and 31,562.82

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Solution

The fourth proportional to 50,494.34, 75,825.47 and 31,562.82 is: 47,396.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,494.34 : 75,825.47 = 31,562.82 : x
  2. Step 2: Convert to fraction form
    50,494.34/75,825.47 = 31,562.82/x
  3. Step 3: Cross multiply
    50,494.34x = 75,825.47 × 31,562.82
  4. Step 4: Simplify right side
    50,494.34x = 2,393,265,661.03
  5. Step 5: Solve for x
    x = 2,393,265,661.03/50,494.34
  6. Step 6: Final answer
    x = 47,396.71

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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.