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Finding the Fourth Proportional to 31,974.36, 44,117.91 and 17,826.90

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Solution

The fourth proportional to 31,974.36, 44,117.91 and 17,826.90 is: 24,597.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,974.36 : 44,117.91 = 17,826.90 : x
  2. Step 2: Convert to fraction form
    31,974.36/44,117.91 = 17,826.90/x
  3. Step 3: Cross multiply
    31,974.36x = 44,117.91 × 17,826.90
  4. Step 4: Simplify right side
    31,974.36x = 786,485,569.78
  5. Step 5: Solve for x
    x = 786,485,569.78/31,974.36
  6. Step 6: Final answer
    x = 24,597.38

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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.