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Finding the Fourth Proportional to 31,096.89, 42,913.80 and 17,668.17

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Solution

The fourth proportional to 31,096.89, 42,913.80 and 17,668.17 is: 24,382.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,096.89 : 42,913.80 = 17,668.17 : x
  2. Step 2: Convert to fraction form
    31,096.89/42,913.80 = 17,668.17/x
  3. Step 3: Cross multiply
    31,096.89x = 42,913.80 × 17,668.17
  4. Step 4: Simplify right side
    31,096.89x = 758,208,313.75
  5. Step 5: Solve for x
    x = 758,208,313.75/31,096.89
  6. Step 6: Final answer
    x = 24,382.13

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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.