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Finding the Fourth Proportional to 52,127.82, 71,936.13 and 28,254.30

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Solution

The fourth proportional to 52,127.82, 71,936.13 and 28,254.30 is: 38,990.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,127.82 : 71,936.13 = 28,254.30 : x
  2. Step 2: Convert to fraction form
    52,127.82/71,936.13 = 28,254.30/x
  3. Step 3: Cross multiply
    52,127.82x = 71,936.13 × 28,254.30
  4. Step 4: Simplify right side
    52,127.82x = 2,032,504,997.86
  5. Step 5: Solve for x
    x = 2,032,504,997.86/52,127.82
  6. Step 6: Final answer
    x = 38,990.79

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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.