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Finding the Fourth Proportional to 31,375.49, 47,068.29 and 10,309.41

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Solution

The fourth proportional to 31,375.49, 47,068.29 and 10,309.41 is: 15,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,375.49 : 47,068.29 = 10,309.41 : x
  2. Step 2: Convert to fraction form
    31,375.49/47,068.29 = 10,309.41/x
  3. Step 3: Cross multiply
    31,375.49x = 47,068.29 × 10,309.41
  4. Step 4: Simplify right side
    31,375.49x = 485,246,299.61
  5. Step 5: Solve for x
    x = 485,246,299.61/31,375.49
  6. Step 6: Final answer
    x = 15,465.78

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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.