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Finding the Fourth Proportional to 49,267, 73,912.20 and 15,987.16

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Solution

The fourth proportional to 49,267, 73,912.20 and 15,987.16 is: 23,984.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,267 : 73,912.20 = 15,987.16 : x
  2. Step 2: Convert to fraction form
    49,267/73,912.20 = 15,987.16/x
  3. Step 3: Cross multiply
    49,267x = 73,912.20 × 15,987.16
  4. Step 4: Simplify right side
    49,267x = 1,181,646,167.35
  5. Step 5: Solve for x
    x = 1,181,646,167.35/49,267
  6. Step 6: Final answer
    x = 23,984.54

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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.