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Finding the Fourth Proportional to 51,963.39, 71,747.88 and 31,847.76

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Solution

The fourth proportional to 51,963.39, 71,747.88 and 31,847.76 is: 43,973.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,963.39 : 71,747.88 = 31,847.76 : x
  2. Step 2: Convert to fraction form
    51,963.39/71,747.88 = 31,847.76/x
  3. Step 3: Cross multiply
    51,963.39x = 71,747.88 × 31,847.76
  4. Step 4: Simplify right side
    51,963.39x = 2,285,009,262.75
  5. Step 5: Solve for x
    x = 2,285,009,262.75/51,963.39
  6. Step 6: Final answer
    x = 43,973.44

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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.