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Finding the Fourth Proportional to 50,823.47, 70,170.62 and 31,732.31

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Solution

The fourth proportional to 50,823.47, 70,170.62 and 31,732.31 is: 43,811.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,823.47 : 70,170.62 = 31,732.31 : x
  2. Step 2: Convert to fraction form
    50,823.47/70,170.62 = 31,732.31/x
  3. Step 3: Cross multiply
    50,823.47x = 70,170.62 × 31,732.31
  4. Step 4: Simplify right side
    50,823.47x = 2,226,675,866.73
  5. Step 5: Solve for x
    x = 2,226,675,866.73/50,823.47
  6. Step 6: Final answer
    x = 43,811.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.