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Finding the Fourth Proportional to 31,377.50, 47,072.05 and 10,318.70

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Solution

The fourth proportional to 31,377.50, 47,072.05 and 10,318.70 is: 15,479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,377.50 : 47,072.05 = 10,318.70 : x
  2. Step 2: Convert to fraction form
    31,377.50/47,072.05 = 10,318.70/x
  3. Step 3: Cross multiply
    31,377.50x = 47,072.05 × 10,318.70
  4. Step 4: Simplify right side
    31,377.50x = 485,722,362.34
  5. Step 5: Solve for x
    x = 485,722,362.34/31,377.50
  6. Step 6: Final answer
    x = 15,479.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.