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Finding the Fourth Proportional to 31,923.32, 47,881.32 and 12,201.44

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Solution

The fourth proportional to 31,923.32, 47,881.32 and 12,201.44 is: 18,300.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,923.32 : 47,881.32 = 12,201.44 : x
  2. Step 2: Convert to fraction form
    31,923.32/47,881.32 = 12,201.44/x
  3. Step 3: Cross multiply
    31,923.32x = 47,881.32 × 12,201.44
  4. Step 4: Simplify right side
    31,923.32x = 584,221,053.10
  5. Step 5: Solve for x
    x = 584,221,053.10/31,923.32
  6. Step 6: Final answer
    x = 18,300.76

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