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Finding the Fourth Proportional to 51,733, 71,391.54 and 29,377

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Solution

The fourth proportional to 51,733, 71,391.54 and 29,377 is: 40,540.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,733 : 71,391.54 = 29,377 : x
  2. Step 2: Convert to fraction form
    51,733/71,391.54 = 29,377/x
  3. Step 3: Cross multiply
    51,733x = 71,391.54 × 29,377
  4. Step 4: Simplify right side
    51,733x = 2,097,269,270.58
  5. Step 5: Solve for x
    x = 2,097,269,270.58/51,733
  6. Step 6: Final answer
    x = 40,540.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.