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Finding the Fourth Proportional to 101,471.82, 152,215.02 and 31,342.02

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Solution

The fourth proportional to 101,471.82, 152,215.02 and 31,342.02 is: 47,015.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,471.82 : 152,215.02 = 31,342.02 : x
  2. Step 2: Convert to fraction form
    101,471.82/152,215.02 = 31,342.02/x
  3. Step 3: Cross multiply
    101,471.82x = 152,215.02 × 31,342.02
  4. Step 4: Simplify right side
    101,471.82x = 4,770,726,201.14
  5. Step 5: Solve for x
    x = 4,770,726,201.14/101,471.82
  6. Step 6: Final answer
    x = 47,015.28

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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.