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Finding the Fourth Proportional to 38,859.06, 53,623.82 and 21,863

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Solution

The fourth proportional to 38,859.06, 53,623.82 and 21,863 is: 30,169.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,859.06 : 53,623.82 = 21,863 : x
  2. Step 2: Convert to fraction form
    38,859.06/53,623.82 = 21,863/x
  3. Step 3: Cross multiply
    38,859.06x = 53,623.82 × 21,863
  4. Step 4: Simplify right side
    38,859.06x = 1,172,377,576.66
  5. Step 5: Solve for x
    x = 1,172,377,576.66/38,859.06
  6. Step 6: Final answer
    x = 30,169.99

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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.