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Finding the Fourth Proportional to 34,072.40, 51,335.72 and 31,382.39

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Solution

The fourth proportional to 34,072.40, 51,335.72 and 31,382.39 is: 47,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,072.40 : 51,335.72 = 31,382.39 : x
  2. Step 2: Convert to fraction form
    34,072.40/51,335.72 = 31,382.39/x
  3. Step 3: Cross multiply
    34,072.40x = 51,335.72 × 31,382.39
  4. Step 4: Simplify right side
    34,072.40x = 1,611,037,562.84
  5. Step 5: Solve for x
    x = 1,611,037,562.84/34,072.40
  6. Step 6: Final answer
    x = 47,282.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.