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Finding the Fourth Proportional to 31,817.34, 47,706.40 and 10,755.39

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Solution

The fourth proportional to 31,817.34, 47,706.40 and 10,755.39 is: 16,126.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,817.34 : 47,706.40 = 10,755.39 : x
  2. Step 2: Convert to fraction form
    31,817.34/47,706.40 = 10,755.39/x
  3. Step 3: Cross multiply
    31,817.34x = 47,706.40 × 10,755.39
  4. Step 4: Simplify right side
    31,817.34x = 513,100,937.50
  5. Step 5: Solve for x
    x = 513,100,937.50/31,817.34
  6. Step 6: Final answer
    x = 16,126.46

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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.