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Finding the Fourth Proportional to 31,992, 44,149 and 17,845.74

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Solution

The fourth proportional to 31,992, 44,149 and 17,845.74 is: 24,627.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,992 : 44,149 = 17,845.74 : x
  2. Step 2: Convert to fraction form
    31,992/44,149 = 17,845.74/x
  3. Step 3: Cross multiply
    31,992x = 44,149 × 17,845.74
  4. Step 4: Simplify right side
    31,992x = 787,871,575.26
  5. Step 5: Solve for x
    x = 787,871,575.26/31,992
  6. Step 6: Final answer
    x = 24,627.14

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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.