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Finding the Fourth Proportional to 27,409.50, 41,109.39 and 7,689.78

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Solution

The fourth proportional to 27,409.50, 41,109.39 and 7,689.78 is: 11,533.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.50 : 41,109.39 = 7,689.78 : x
  2. Step 2: Convert to fraction form
    27,409.50/41,109.39 = 7,689.78/x
  3. Step 3: Cross multiply
    27,409.50x = 41,109.39 × 7,689.78
  4. Step 4: Simplify right side
    27,409.50x = 316,122,165.03
  5. Step 5: Solve for x
    x = 316,122,165.03/27,409.50
  6. Step 6: Final answer
    x = 11,533.31

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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.