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Finding the Fourth Proportional to 36,196, 49,936.48 and 22,761.76

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Solution

The fourth proportional to 36,196, 49,936.48 and 22,761.76 is: 31,402.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,196 : 49,936.48 = 22,761.76 : x
  2. Step 2: Convert to fraction form
    36,196/49,936.48 = 22,761.76/x
  3. Step 3: Cross multiply
    36,196x = 49,936.48 × 22,761.76
  4. Step 4: Simplify right side
    36,196x = 1,136,642,173.00
  5. Step 5: Solve for x
    x = 1,136,642,173.00/36,196
  6. Step 6: Final answer
    x = 31,402.42

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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.