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Finding the Fourth Proportional to 27,775.60, 38,348.22 and 24,786.30

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Solution

The fourth proportional to 27,775.60, 38,348.22 and 24,786.30 is: 34,221.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,775.60 : 38,348.22 = 24,786.30 : x
  2. Step 2: Convert to fraction form
    27,775.60/38,348.22 = 24,786.30/x
  3. Step 3: Cross multiply
    27,775.60x = 38,348.22 × 24,786.30
  4. Step 4: Simplify right side
    27,775.60x = 950,510,485.39
  5. Step 5: Solve for x
    x = 950,510,485.39/27,775.60
  6. Step 6: Final answer
    x = 34,221.06

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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.