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Finding the Fourth Proportional to 27,952.86, 38,573.91 and 20,008.38

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Solution

The fourth proportional to 27,952.86, 38,573.91 and 20,008.38 is: 27,610.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,952.86 : 38,573.91 = 20,008.38 : x
  2. Step 2: Convert to fraction form
    27,952.86/38,573.91 = 20,008.38/x
  3. Step 3: Cross multiply
    27,952.86x = 38,573.91 × 20,008.38
  4. Step 4: Simplify right side
    27,952.86x = 771,801,449.37
  5. Step 5: Solve for x
    x = 771,801,449.37/27,952.86
  6. Step 6: Final answer
    x = 27,610.82

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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.