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Finding the Fourth Proportional to 27,702.32, 41,549.82 and 7,713.14

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Solution

The fourth proportional to 27,702.32, 41,549.82 and 7,713.14 is: 11,568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,702.32 : 41,549.82 = 7,713.14 : x
  2. Step 2: Convert to fraction form
    27,702.32/41,549.82 = 7,713.14/x
  3. Step 3: Cross multiply
    27,702.32x = 41,549.82 × 7,713.14
  4. Step 4: Simplify right side
    27,702.32x = 320,479,578.63
  5. Step 5: Solve for x
    x = 320,479,578.63/27,702.32
  6. Step 6: Final answer
    x = 11,568.69

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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.