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Finding the Fourth Proportional to 102,850.40, 154,286.94 and 32,713.32

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Solution

The fourth proportional to 102,850.40, 154,286.94 and 32,713.32 is: 49,073.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,850.40 : 154,286.94 = 32,713.32 : x
  2. Step 2: Convert to fraction form
    102,850.40/154,286.94 = 32,713.32/x
  3. Step 3: Cross multiply
    102,850.40x = 154,286.94 × 32,713.32
  4. Step 4: Simplify right side
    102,850.40x = 5,047,238,040.04
  5. Step 5: Solve for x
    x = 5,047,238,040.04/102,850.40
  6. Step 6: Final answer
    x = 49,073.59

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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.