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Finding the Fourth Proportional to 27,884.76, 38,267.51 and 27,687.93

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Solution

The fourth proportional to 27,884.76, 38,267.51 and 27,687.93 is: 37,997.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,884.76 : 38,267.51 = 27,687.93 : x
  2. Step 2: Convert to fraction form
    27,884.76/38,267.51 = 27,687.93/x
  3. Step 3: Cross multiply
    27,884.76x = 38,267.51 × 27,687.93
  4. Step 4: Simplify right side
    27,884.76x = 1,059,548,138.15
  5. Step 5: Solve for x
    x = 1,059,548,138.15/27,884.76
  6. Step 6: Final answer
    x = 37,997.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.