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Finding the Fourth Proportional to 31,057.26, 42,837.25 and 19,127.17

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Solution

The fourth proportional to 31,057.26, 42,837.25 and 19,127.17 is: 26,382.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,057.26 : 42,837.25 = 19,127.17 : x
  2. Step 2: Convert to fraction form
    31,057.26/42,837.25 = 19,127.17/x
  3. Step 3: Cross multiply
    31,057.26x = 42,837.25 × 19,127.17
  4. Step 4: Simplify right side
    31,057.26x = 819,355,363.08
  5. Step 5: Solve for x
    x = 819,355,363.08/31,057.26
  6. Step 6: Final answer
    x = 26,382.09

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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.