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Finding the Fourth Proportional to 27,093.31, 40,631.56 and 9,559.04

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Solution

The fourth proportional to 27,093.31, 40,631.56 and 9,559.04 is: 14,335.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,093.31 : 40,631.56 = 9,559.04 : x
  2. Step 2: Convert to fraction form
    27,093.31/40,631.56 = 9,559.04/x
  3. Step 3: Cross multiply
    27,093.31x = 40,631.56 × 9,559.04
  4. Step 4: Simplify right side
    27,093.31x = 388,398,480.25
  5. Step 5: Solve for x
    x = 388,398,480.25/27,093.31
  6. Step 6: Final answer
    x = 14,335.59

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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.