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Finding the Fourth Proportional to 31,440, 43,387.49 and 17,099.97

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Solution

The fourth proportional to 31,440, 43,387.49 and 17,099.97 is: 23,598.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,440 : 43,387.49 = 17,099.97 : x
  2. Step 2: Convert to fraction form
    31,440/43,387.49 = 17,099.97/x
  3. Step 3: Cross multiply
    31,440x = 43,387.49 × 17,099.97
  4. Step 4: Simplify right side
    31,440x = 741,924,777.38
  5. Step 5: Solve for x
    x = 741,924,777.38/31,440
  6. Step 6: Final answer
    x = 23,598.12

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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.