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Finding the Fourth Proportional to 102,003.24, 152,942.22 and 35,414.76

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Solution

The fourth proportional to 102,003.24, 152,942.22 and 35,414.76 is: 53,100.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,003.24 : 152,942.22 = 35,414.76 : x
  2. Step 2: Convert to fraction form
    102,003.24/152,942.22 = 35,414.76/x
  3. Step 3: Cross multiply
    102,003.24x = 152,942.22 × 35,414.76
  4. Step 4: Simplify right side
    102,003.24x = 5,416,412,015.17
  5. Step 5: Solve for x
    x = 5,416,412,015.17/102,003.24
  6. Step 6: Final answer
    x = 53,100.39

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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.