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Finding the Fourth Proportional to 36,125.57, 49,900.93 and 27,731.42

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Solution

The fourth proportional to 36,125.57, 49,900.93 and 27,731.42 is: 38,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,125.57 : 49,900.93 = 27,731.42 : x
  2. Step 2: Convert to fraction form
    36,125.57/49,900.93 = 27,731.42/x
  3. Step 3: Cross multiply
    36,125.57x = 49,900.93 × 27,731.42
  4. Step 4: Simplify right side
    36,125.57x = 1,383,823,539.95
  5. Step 5: Solve for x
    x = 1,383,823,539.95/36,125.57
  6. Step 6: Final answer
    x = 38,305.93

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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.