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Finding the Fourth Proportional to 36,200.52, 49,938.93 and 22,028.76

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Solution

The fourth proportional to 36,200.52, 49,938.93 and 22,028.76 is: 30,388.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,200.52 : 49,938.93 = 22,028.76 : x
  2. Step 2: Convert to fraction form
    36,200.52/49,938.93 = 22,028.76/x
  3. Step 3: Cross multiply
    36,200.52x = 49,938.93 × 22,028.76
  4. Step 4: Simplify right side
    36,200.52x = 1,100,092,703.63
  5. Step 5: Solve for x
    x = 1,100,092,703.63/36,200.52
  6. Step 6: Final answer
    x = 30,388.86

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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.