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Finding the Fourth Proportional to 27,833.88, 38,416.89 and 21,772.11

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Solution

The fourth proportional to 27,833.88, 38,416.89 and 21,772.11 is: 30,050.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833.88 : 38,416.89 = 21,772.11 : x
  2. Step 2: Convert to fraction form
    27,833.88/38,416.89 = 21,772.11/x
  3. Step 3: Cross multiply
    27,833.88x = 38,416.89 × 21,772.11
  4. Step 4: Simplify right side
    27,833.88x = 836,416,754.94
  5. Step 5: Solve for x
    x = 836,416,754.94/27,833.88
  6. Step 6: Final answer
    x = 30,050.31

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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.