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Finding the Fourth Proportional to 106,086.89, 159,135.31 and 35,015.73

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Solution

The fourth proportional to 106,086.89, 159,135.31 and 35,015.73 is: 52,525.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,086.89 : 159,135.31 = 35,015.73 : x
  2. Step 2: Convert to fraction form
    106,086.89/159,135.31 = 35,015.73/x
  3. Step 3: Cross multiply
    106,086.89x = 159,135.31 × 35,015.73
  4. Step 4: Simplify right side
    106,086.89x = 5,572,239,068.31
  5. Step 5: Solve for x
    x = 5,572,239,068.31/106,086.89
  6. Step 6: Final answer
    x = 52,525.24

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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.