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Finding the Fourth Proportional to 31,356.14, 43,274.13 and 17,211.38

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Solution

The fourth proportional to 31,356.14, 43,274.13 and 17,211.38 is: 23,753.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,356.14 : 43,274.13 = 17,211.38 : x
  2. Step 2: Convert to fraction form
    31,356.14/43,274.13 = 17,211.38/x
  3. Step 3: Cross multiply
    31,356.14x = 43,274.13 × 17,211.38
  4. Step 4: Simplify right side
    31,356.14x = 744,807,495.60
  5. Step 5: Solve for x
    x = 744,807,495.60/31,356.14
  6. Step 6: Final answer
    x = 23,753.16

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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.