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Finding the Fourth Proportional to 36,214.51, 49,978.11 and 20,304.04

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Solution

The fourth proportional to 36,214.51, 49,978.11 and 20,304.04 is: 28,020.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,214.51 : 49,978.11 = 20,304.04 : x
  2. Step 2: Convert to fraction form
    36,214.51/49,978.11 = 20,304.04/x
  3. Step 3: Cross multiply
    36,214.51x = 49,978.11 × 20,304.04
  4. Step 4: Simplify right side
    36,214.51x = 1,014,757,544.56
  5. Step 5: Solve for x
    x = 1,014,757,544.56/36,214.51
  6. Step 6: Final answer
    x = 28,020.74

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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.