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Finding the Fourth Proportional to 106,375.75, 159,590.97 and 39,816.84

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Solution

The fourth proportional to 106,375.75, 159,590.97 and 39,816.84 is: 59,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,375.75 : 159,590.97 = 39,816.84 : x
  2. Step 2: Convert to fraction form
    106,375.75/159,590.97 = 39,816.84/x
  3. Step 3: Cross multiply
    106,375.75x = 159,590.97 × 39,816.84
  4. Step 4: Simplify right side
    106,375.75x = 6,354,408,117.93
  5. Step 5: Solve for x
    x = 6,354,408,117.93/106,375.75
  6. Step 6: Final answer
    x = 59,735.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.