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Finding the Fourth Proportional to 31,837.91, 43,892.40 and 25,399.38

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Solution

The fourth proportional to 31,837.91, 43,892.40 and 25,399.38 is: 35,016.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,837.91 : 43,892.40 = 25,399.38 : x
  2. Step 2: Convert to fraction form
    31,837.91/43,892.40 = 25,399.38/x
  3. Step 3: Cross multiply
    31,837.91x = 43,892.40 × 25,399.38
  4. Step 4: Simplify right side
    31,837.91x = 1,114,839,746.71
  5. Step 5: Solve for x
    x = 1,114,839,746.71/31,837.91
  6. Step 6: Final answer
    x = 35,016.12

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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.