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Finding the Fourth Proportional to 31,055.86, 42,854.92 and 17,627.39

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Solution

The fourth proportional to 31,055.86, 42,854.92 and 17,627.39 is: 24,324.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,055.86 : 42,854.92 = 17,627.39 : x
  2. Step 2: Convert to fraction form
    31,055.86/42,854.92 = 17,627.39/x
  3. Step 3: Cross multiply
    31,055.86x = 42,854.92 × 17,627.39
  4. Step 4: Simplify right side
    31,055.86x = 755,420,388.26
  5. Step 5: Solve for x
    x = 755,420,388.26/31,055.86
  6. Step 6: Final answer
    x = 24,324.57

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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.