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Finding the Fourth Proportional to 27,706.34, 41,550.70 and 8,981.98

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Solution

The fourth proportional to 27,706.34, 41,550.70 and 8,981.98 is: 13,470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,706.34 : 41,550.70 = 8,981.98 : x
  2. Step 2: Convert to fraction form
    27,706.34/41,550.70 = 8,981.98/x
  3. Step 3: Cross multiply
    27,706.34x = 41,550.70 × 8,981.98
  4. Step 4: Simplify right side
    27,706.34x = 373,207,556.39
  5. Step 5: Solve for x
    x = 373,207,556.39/27,706.34
  6. Step 6: Final answer
    x = 13,470.11

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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.