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Finding the Fourth Proportional to 36,101.68, 49,821.42 and 20,188.96

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Solution

The fourth proportional to 36,101.68, 49,821.42 and 20,188.96 is: 27,861.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,101.68 : 49,821.42 = 20,188.96 : x
  2. Step 2: Convert to fraction form
    36,101.68/49,821.42 = 20,188.96/x
  3. Step 3: Cross multiply
    36,101.68x = 49,821.42 × 20,188.96
  4. Step 4: Simplify right side
    36,101.68x = 1,005,842,655.52
  5. Step 5: Solve for x
    x = 1,005,842,655.52/36,101.68
  6. Step 6: Final answer
    x = 27,861.38

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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.