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Finding the Fourth Proportional to 31,294.69, 43,186.69 and 17,147.53

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Solution

The fourth proportional to 31,294.69, 43,186.69 and 17,147.53 is: 23,663.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,294.69 : 43,186.69 = 17,147.53 : x
  2. Step 2: Convert to fraction form
    31,294.69/43,186.69 = 17,147.53/x
  3. Step 3: Cross multiply
    31,294.69x = 43,186.69 × 17,147.53
  4. Step 4: Simplify right side
    31,294.69x = 740,545,062.38
  5. Step 5: Solve for x
    x = 740,545,062.38/31,294.69
  6. Step 6: Final answer
    x = 23,663.60

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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.