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Finding the Fourth Proportional to 36,149.78, 49,851.68 and 28,189.10

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Solution

The fourth proportional to 36,149.78, 49,851.68 and 28,189.10 is: 38,873.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,149.78 : 49,851.68 = 28,189.10 : x
  2. Step 2: Convert to fraction form
    36,149.78/49,851.68 = 28,189.10/x
  3. Step 3: Cross multiply
    36,149.78x = 49,851.68 × 28,189.10
  4. Step 4: Simplify right side
    36,149.78x = 1,405,273,602.48
  5. Step 5: Solve for x
    x = 1,405,273,602.48/36,149.78
  6. Step 6: Final answer
    x = 38,873.65

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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.