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Finding the Fourth Proportional to 31,847.58, 47,743.02 and 16,032.06

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Solution

The fourth proportional to 31,847.58, 47,743.02 and 16,032.06 is: 24,033.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,847.58 : 47,743.02 = 16,032.06 : x
  2. Step 2: Convert to fraction form
    31,847.58/47,743.02 = 16,032.06/x
  3. Step 3: Cross multiply
    31,847.58x = 47,743.02 × 16,032.06
  4. Step 4: Simplify right side
    31,847.58x = 765,418,961.22
  5. Step 5: Solve for x
    x = 765,418,961.22/31,847.58
  6. Step 6: Final answer
    x = 24,033.82

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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.