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Finding the Fourth Proportional to 27,578.18, 37,809.99 and 27,079.95

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Solution

The fourth proportional to 27,578.18, 37,809.99 and 27,079.95 is: 37,126.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,578.18 : 37,809.99 = 27,079.95 : x
  2. Step 2: Convert to fraction form
    27,578.18/37,809.99 = 27,079.95/x
  3. Step 3: Cross multiply
    27,578.18x = 37,809.99 × 27,079.95
  4. Step 4: Simplify right side
    27,578.18x = 1,023,892,638.70
  5. Step 5: Solve for x
    x = 1,023,892,638.70/27,578.18
  6. Step 6: Final answer
    x = 37,126.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.