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Finding the Fourth Proportional to 106,427.80, 159,584.10 and 44,027.80

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Solution

The fourth proportional to 106,427.80, 159,584.10 and 44,027.80 is: 66,017.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,427.80 : 159,584.10 = 44,027.80 : x
  2. Step 2: Convert to fraction form
    106,427.80/159,584.10 = 44,027.80/x
  3. Step 3: Cross multiply
    106,427.80x = 159,584.10 × 44,027.80
  4. Step 4: Simplify right side
    106,427.80x = 7,026,136,837.98
  5. Step 5: Solve for x
    x = 7,026,136,837.98/106,427.80
  6. Step 6: Final answer
    x = 66,017.87

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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.