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Finding the Fourth Proportional to 51,884.01, 71,605.32 and 31,754.30

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Solution

The fourth proportional to 51,884.01, 71,605.32 and 31,754.30 is: 43,824.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,884.01 : 71,605.32 = 31,754.30 : x
  2. Step 2: Convert to fraction form
    51,884.01/71,605.32 = 31,754.30/x
  3. Step 3: Cross multiply
    51,884.01x = 71,605.32 × 31,754.30
  4. Step 4: Simplify right side
    51,884.01x = 2,273,776,335.77
  5. Step 5: Solve for x
    x = 2,273,776,335.77/51,884.01
  6. Step 6: Final answer
    x = 43,824.22

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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.