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Finding the Fourth Proportional to 31,274.49, 43,154.87 and 24,917.22

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Solution

The fourth proportional to 31,274.49, 43,154.87 and 24,917.22 is: 34,382.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,274.49 : 43,154.87 = 24,917.22 : x
  2. Step 2: Convert to fraction form
    31,274.49/43,154.87 = 24,917.22/x
  3. Step 3: Cross multiply
    31,274.49x = 43,154.87 × 24,917.22
  4. Step 4: Simplify right side
    31,274.49x = 1,075,299,265.28
  5. Step 5: Solve for x
    x = 1,075,299,265.28/31,274.49
  6. Step 6: Final answer
    x = 34,382.63

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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.