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Finding the Fourth Proportional to 27,523.32, 41,284.98 and 7,801.88

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Solution

The fourth proportional to 27,523.32, 41,284.98 and 7,801.88 is: 11,702.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,523.32 : 41,284.98 = 7,801.88 : x
  2. Step 2: Convert to fraction form
    27,523.32/41,284.98 = 7,801.88/x
  3. Step 3: Cross multiply
    27,523.32x = 41,284.98 × 7,801.88
  4. Step 4: Simplify right side
    27,523.32x = 322,100,224.08
  5. Step 5: Solve for x
    x = 322,100,224.08/27,523.32
  6. Step 6: Final answer
    x = 11,702.81

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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.