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Finding the Fourth Proportional to 31,194.70, 43,053.54 and 19,869.06

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Solution

The fourth proportional to 31,194.70, 43,053.54 and 19,869.06 is: 27,422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,194.70 : 43,053.54 = 19,869.06 : x
  2. Step 2: Convert to fraction form
    31,194.70/43,053.54 = 19,869.06/x
  3. Step 3: Cross multiply
    31,194.70x = 43,053.54 × 19,869.06
  4. Step 4: Simplify right side
    31,194.70x = 855,433,369.47
  5. Step 5: Solve for x
    x = 855,433,369.47/31,194.70
  6. Step 6: Final answer
    x = 27,422.39

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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.