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Finding the Fourth Proportional to 36,937.69, 50,973.97 and 21,835.80

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Solution

The fourth proportional to 36,937.69, 50,973.97 and 21,835.80 is: 30,133.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,937.69 : 50,973.97 = 21,835.80 : x
  2. Step 2: Convert to fraction form
    36,937.69/50,973.97 = 21,835.80/x
  3. Step 3: Cross multiply
    36,937.69x = 50,973.97 × 21,835.80
  4. Step 4: Simplify right side
    36,937.69x = 1,113,057,414.13
  5. Step 5: Solve for x
    x = 1,113,057,414.13/36,937.69
  6. Step 6: Final answer
    x = 30,133.38

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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.