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Finding the Fourth Proportional to 101,996.66, 152,995 and 31,876.58

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Solution

The fourth proportional to 101,996.66, 152,995 and 31,876.58 is: 47,814.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,996.66 : 152,995 = 31,876.58 : x
  2. Step 2: Convert to fraction form
    101,996.66/152,995 = 31,876.58/x
  3. Step 3: Cross multiply
    101,996.66x = 152,995 × 31,876.58
  4. Step 4: Simplify right side
    101,996.66x = 4,876,957,357.10
  5. Step 5: Solve for x
    x = 4,876,957,357.10/101,996.66
  6. Step 6: Final answer
    x = 47,814.87

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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.