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Finding the Fourth Proportional to 36,030.96, 49,722.26 and 20,115.68

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Solution

The fourth proportional to 36,030.96, 49,722.26 and 20,115.68 is: 27,759.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,030.96 : 49,722.26 = 20,115.68 : x
  2. Step 2: Convert to fraction form
    36,030.96/49,722.26 = 20,115.68/x
  3. Step 3: Cross multiply
    36,030.96x = 49,722.26 × 20,115.68
  4. Step 4: Simplify right side
    36,030.96x = 1,000,197,071.04
  5. Step 5: Solve for x
    x = 1,000,197,071.04/36,030.96
  6. Step 6: Final answer
    x = 27,759.38

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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.