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Finding the Fourth Proportional to 36,751.83, 50,721.29 and 21,649.24

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Solution

The fourth proportional to 36,751.83, 50,721.29 and 21,649.24 is: 29,878.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,751.83 : 50,721.29 = 21,649.24 : x
  2. Step 2: Convert to fraction form
    36,751.83/50,721.29 = 21,649.24/x
  3. Step 3: Cross multiply
    36,751.83x = 50,721.29 × 21,649.24
  4. Step 4: Simplify right side
    36,751.83x = 1,098,077,272.07
  5. Step 5: Solve for x
    x = 1,098,077,272.07/36,751.83
  6. Step 6: Final answer
    x = 29,878.17

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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.