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Finding the Fourth Proportional to 27,961.50, 41,948.01 and 11,545.50

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Solution

The fourth proportional to 27,961.50, 41,948.01 and 11,545.50 is: 17,320.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,961.50 : 41,948.01 = 11,545.50 : x
  2. Step 2: Convert to fraction form
    27,961.50/41,948.01 = 11,545.50/x
  3. Step 3: Cross multiply
    27,961.50x = 41,948.01 × 11,545.50
  4. Step 4: Simplify right side
    27,961.50x = 484,310,749.46
  5. Step 5: Solve for x
    x = 484,310,749.46/27,961.50
  6. Step 6: Final answer
    x = 17,320.63

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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.