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Finding the Fourth Proportional to 31,295.67, 43,189.02 and 17,149.38

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Solution

The fourth proportional to 31,295.67, 43,189.02 and 17,149.38 is: 23,666.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,295.67 : 43,189.02 = 17,149.38 : x
  2. Step 2: Convert to fraction form
    31,295.67/43,189.02 = 17,149.38/x
  3. Step 3: Cross multiply
    31,295.67x = 43,189.02 × 17,149.38
  4. Step 4: Simplify right side
    31,295.67x = 740,664,915.81
  5. Step 5: Solve for x
    x = 740,664,915.81/31,295.67
  6. Step 6: Final answer
    x = 23,666.69

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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.