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Finding the Fourth Proportional to 31,308.42, 43,205.13 and 16,967.91

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Solution

The fourth proportional to 31,308.42, 43,205.13 and 16,967.91 is: 23,415.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,308.42 : 43,205.13 = 16,967.91 : x
  2. Step 2: Convert to fraction form
    31,308.42/43,205.13 = 16,967.91/x
  3. Step 3: Cross multiply
    31,308.42x = 43,205.13 × 16,967.91
  4. Step 4: Simplify right side
    31,308.42x = 733,100,757.38
  5. Step 5: Solve for x
    x = 733,100,757.38/31,308.42
  6. Step 6: Final answer
    x = 23,415.45

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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.