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Finding the Fourth Proportional to 106,490.93, 159,676.46 and 35,375.50

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Solution

The fourth proportional to 106,490.93, 159,676.46 and 35,375.50 is: 53,043.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,490.93 : 159,676.46 = 35,375.50 : x
  2. Step 2: Convert to fraction form
    106,490.93/159,676.46 = 35,375.50/x
  3. Step 3: Cross multiply
    106,490.93x = 159,676.46 × 35,375.50
  4. Step 4: Simplify right side
    106,490.93x = 5,648,633,635.47
  5. Step 5: Solve for x
    x = 5,648,633,635.47/106,490.93
  6. Step 6: Final answer
    x = 53,043.33

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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.