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Finding the Fourth Proportional to 27,761.94, 38,311.11 and 15,825.48

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Solution

The fourth proportional to 27,761.94, 38,311.11 and 15,825.48 is: 21,838.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,761.94 : 38,311.11 = 15,825.48 : x
  2. Step 2: Convert to fraction form
    27,761.94/38,311.11 = 15,825.48/x
  3. Step 3: Cross multiply
    27,761.94x = 38,311.11 × 15,825.48
  4. Step 4: Simplify right side
    27,761.94x = 606,291,561.42
  5. Step 5: Solve for x
    x = 606,291,561.42/27,761.94
  6. Step 6: Final answer
    x = 21,838.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.