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Finding the Fourth Proportional to 31,640.42, 47,479.09 and 11,920.52

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Solution

The fourth proportional to 31,640.42, 47,479.09 and 11,920.52 is: 17,887.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,640.42 : 47,479.09 = 11,920.52 : x
  2. Step 2: Convert to fraction form
    31,640.42/47,479.09 = 11,920.52/x
  3. Step 3: Cross multiply
    31,640.42x = 47,479.09 × 11,920.52
  4. Step 4: Simplify right side
    31,640.42x = 565,975,252.58
  5. Step 5: Solve for x
    x = 565,975,252.58/31,640.42
  6. Step 6: Final answer
    x = 17,887.73

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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.