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Finding the Fourth Proportional to 51,978.34, 71,731.29 and 30,761.38

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Solution

The fourth proportional to 51,978.34, 71,731.29 and 30,761.38 is: 42,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,978.34 : 71,731.29 = 30,761.38 : x
  2. Step 2: Convert to fraction form
    51,978.34/71,731.29 = 30,761.38/x
  3. Step 3: Cross multiply
    51,978.34x = 71,731.29 × 30,761.38
  4. Step 4: Simplify right side
    51,978.34x = 2,206,553,469.58
  5. Step 5: Solve for x
    x = 2,206,553,469.58/51,978.34
  6. Step 6: Final answer
    x = 42,451.40

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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.