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Finding the Fourth Proportional to 101,974.98, 152,961.86 and 39,645.48

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Solution

The fourth proportional to 101,974.98, 152,961.86 and 39,645.48 is: 59,467.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,974.98 : 152,961.86 = 39,645.48 : x
  2. Step 2: Convert to fraction form
    101,974.98/152,961.86 = 39,645.48/x
  3. Step 3: Cross multiply
    101,974.98x = 152,961.86 × 39,645.48
  4. Step 4: Simplify right side
    101,974.98x = 6,064,246,361.39
  5. Step 5: Solve for x
    x = 6,064,246,361.39/101,974.98
  6. Step 6: Final answer
    x = 59,467.98

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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.