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Finding the Fourth Proportional to 31,924.55, 47,894.13 and 9,738.33

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Solution

The fourth proportional to 31,924.55, 47,894.13 and 9,738.33 is: 14,609.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,924.55 : 47,894.13 = 9,738.33 : x
  2. Step 2: Convert to fraction form
    31,924.55/47,894.13 = 9,738.33/x
  3. Step 3: Cross multiply
    31,924.55x = 47,894.13 × 9,738.33
  4. Step 4: Simplify right side
    31,924.55x = 466,408,843.00
  5. Step 5: Solve for x
    x = 466,408,843.00/31,924.55
  6. Step 6: Final answer
    x = 14,609.73

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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.