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Finding the Fourth Proportional to 36,142.01, 54,212.69 and 28,251.16

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Solution

The fourth proportional to 36,142.01, 54,212.69 and 28,251.16 is: 42,376.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,142.01 : 54,212.69 = 28,251.16 : x
  2. Step 2: Convert to fraction form
    36,142.01/54,212.69 = 28,251.16/x
  3. Step 3: Cross multiply
    36,142.01x = 54,212.69 × 28,251.16
  4. Step 4: Simplify right side
    36,142.01x = 1,531,571,379.22
  5. Step 5: Solve for x
    x = 1,531,571,379.22/36,142.01
  6. Step 6: Final answer
    x = 42,376.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.