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Finding the Fourth Proportional to 36,176.88, 49,926.48 and 20,262.36

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Solution

The fourth proportional to 36,176.88, 49,926.48 and 20,262.36 is: 27,963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,176.88 : 49,926.48 = 20,262.36 : x
  2. Step 2: Convert to fraction form
    36,176.88/49,926.48 = 20,262.36/x
  3. Step 3: Cross multiply
    36,176.88x = 49,926.48 × 20,262.36
  4. Step 4: Simplify right side
    36,176.88x = 1,011,628,311.29
  5. Step 5: Solve for x
    x = 1,011,628,311.29/36,176.88
  6. Step 6: Final answer
    x = 27,963.39

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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.