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Finding the Fourth Proportional to 31,154.85, 42,993.39 and 19,213.41

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Solution

The fourth proportional to 31,154.85, 42,993.39 and 19,213.41 is: 26,514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,154.85 : 42,993.39 = 19,213.41 : x
  2. Step 2: Convert to fraction form
    31,154.85/42,993.39 = 19,213.41/x
  3. Step 3: Cross multiply
    31,154.85x = 42,993.39 × 19,213.41
  4. Step 4: Simplify right side
    31,154.85x = 826,049,629.36
  5. Step 5: Solve for x
    x = 826,049,629.36/31,154.85
  6. Step 6: Final answer
    x = 26,514.32

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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.