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Finding the Fourth Proportional to 22,477.50, 33,716.25 and 6,061.50

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Solution

The fourth proportional to 22,477.50, 33,716.25 and 6,061.50 is: 9,092.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,477.50 : 33,716.25 = 6,061.50 : x
  2. Step 2: Convert to fraction form
    22,477.50/33,716.25 = 6,061.50/x
  3. Step 3: Cross multiply
    22,477.50x = 33,716.25 × 6,061.50
  4. Step 4: Simplify right side
    22,477.50x = 204,371,049.38
  5. Step 5: Solve for x
    x = 204,371,049.38/22,477.50
  6. Step 6: Final answer
    x = 9,092.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.