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Finding the Fourth Proportional to 106,100.89, 159,137.75 and 35,005.93

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Solution

The fourth proportional to 106,100.89, 159,137.75 and 35,005.93 is: 52,504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,100.89 : 159,137.75 = 35,005.93 : x
  2. Step 2: Convert to fraction form
    106,100.89/159,137.75 = 35,005.93/x
  3. Step 3: Cross multiply
    106,100.89x = 159,137.75 × 35,005.93
  4. Step 4: Simplify right side
    106,100.89x = 5,570,764,626.53
  5. Step 5: Solve for x
    x = 5,570,764,626.53/106,100.89
  6. Step 6: Final answer
    x = 52,504.41

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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.