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Finding the Fourth Proportional to 27,545.50, 41,324.73 and 9,077.50

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Solution

The fourth proportional to 27,545.50, 41,324.73 and 9,077.50 is: 13,618.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,545.50 : 41,324.73 = 9,077.50 : x
  2. Step 2: Convert to fraction form
    27,545.50/41,324.73 = 9,077.50/x
  3. Step 3: Cross multiply
    27,545.50x = 41,324.73 × 9,077.50
  4. Step 4: Simplify right side
    27,545.50x = 375,125,236.58
  5. Step 5: Solve for x
    x = 375,125,236.58/27,545.50
  6. Step 6: Final answer
    x = 13,618.39

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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.