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Finding the Fourth Proportional to 102,745.09, 154,117.23 and 32,629.87

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Solution

The fourth proportional to 102,745.09, 154,117.23 and 32,629.87 is: 48,944.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,745.09 : 154,117.23 = 32,629.87 : x
  2. Step 2: Convert to fraction form
    102,745.09/154,117.23 = 32,629.87/x
  3. Step 3: Cross multiply
    102,745.09x = 154,117.23 × 32,629.87
  4. Step 4: Simplify right side
    102,745.09x = 5,028,825,179.66
  5. Step 5: Solve for x
    x = 5,028,825,179.66/102,745.09
  6. Step 6: Final answer
    x = 48,944.68

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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.