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Finding the Fourth Proportional to 27,627, 41,440.50 and 9,159

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Solution

The fourth proportional to 27,627, 41,440.50 and 9,159 is: 13,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,627 : 41,440.50 = 9,159 : x
  2. Step 2: Convert to fraction form
    27,627/41,440.50 = 9,159/x
  3. Step 3: Cross multiply
    27,627x = 41,440.50 × 9,159
  4. Step 4: Simplify right side
    27,627x = 379,553,539.50
  5. Step 5: Solve for x
    x = 379,553,539.50/27,627
  6. Step 6: Final answer
    x = 13,738.50

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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.