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Finding the Fourth Proportional to 102,813.49, 154,223.27 and 27,933.24

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Solution

The fourth proportional to 102,813.49, 154,223.27 and 27,933.24 is: 41,900.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,813.49 : 154,223.27 = 27,933.24 : x
  2. Step 2: Convert to fraction form
    102,813.49/154,223.27 = 27,933.24/x
  3. Step 3: Cross multiply
    102,813.49x = 154,223.27 × 27,933.24
  4. Step 4: Simplify right side
    102,813.49x = 4,307,955,614.49
  5. Step 5: Solve for x
    x = 4,307,955,614.49/102,813.49
  6. Step 6: Final answer
    x = 41,900.68

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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.