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Finding the Fourth Proportional to 36,097.77, 49,816.05 and 20,182.89

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Solution

The fourth proportional to 36,097.77, 49,816.05 and 20,182.89 is: 27,853.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,097.77 : 49,816.05 = 20,182.89 : x
  2. Step 2: Convert to fraction form
    36,097.77/49,816.05 = 20,182.89/x
  3. Step 3: Cross multiply
    36,097.77x = 49,816.05 × 20,182.89
  4. Step 4: Simplify right side
    36,097.77x = 1,005,431,857.38
  5. Step 5: Solve for x
    x = 1,005,431,857.38/36,097.77
  6. Step 6: Final answer
    x = 27,853.02

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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.