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Finding the Fourth Proportional to 31,097.42, 42,914.46 and 17,668.69

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Solution

The fourth proportional to 31,097.42, 42,914.46 and 17,668.69 is: 24,382.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,097.42 : 42,914.46 = 17,668.69 : x
  2. Step 2: Convert to fraction form
    31,097.42/42,914.46 = 17,668.69/x
  3. Step 3: Cross multiply
    31,097.42x = 42,914.46 × 17,668.69
  4. Step 4: Simplify right side
    31,097.42x = 758,242,414.31
  5. Step 5: Solve for x
    x = 758,242,414.31/31,097.42
  6. Step 6: Final answer
    x = 24,382.81

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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.