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Finding the Fourth Proportional to 27,020.50, 40,537.26 and 8,552.50

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Solution

The fourth proportional to 27,020.50, 40,537.26 and 8,552.50 is: 12,830.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,020.50 : 40,537.26 = 8,552.50 : x
  2. Step 2: Convert to fraction form
    27,020.50/40,537.26 = 8,552.50/x
  3. Step 3: Cross multiply
    27,020.50x = 40,537.26 × 8,552.50
  4. Step 4: Simplify right side
    27,020.50x = 346,694,916.15
  5. Step 5: Solve for x
    x = 346,694,916.15/27,020.50
  6. Step 6: Final answer
    x = 12,830.81

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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.