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Finding the Fourth Proportional to 31,094.61, 42,911.71 and 17,668.14

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Solution

The fourth proportional to 31,094.61, 42,911.71 and 17,668.14 is: 24,382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,094.61 : 42,911.71 = 17,668.14 : x
  2. Step 2: Convert to fraction form
    31,094.61/42,911.71 = 17,668.14/x
  3. Step 3: Cross multiply
    31,094.61x = 42,911.71 × 17,668.14
  4. Step 4: Simplify right side
    31,094.61x = 758,170,099.92
  5. Step 5: Solve for x
    x = 758,170,099.92/31,094.61
  6. Step 6: Final answer
    x = 24,382.69

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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.