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Finding the Fourth Proportional to 31,065.86, 42,872.11 and 17,638.37

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Solution

The fourth proportional to 31,065.86, 42,872.11 and 17,638.37 is: 24,341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,065.86 : 42,872.11 = 17,638.37 : x
  2. Step 2: Convert to fraction form
    31,065.86/42,872.11 = 17,638.37/x
  3. Step 3: Cross multiply
    31,065.86x = 42,872.11 × 17,638.37
  4. Step 4: Simplify right side
    31,065.86x = 756,193,965.54
  5. Step 5: Solve for x
    x = 756,193,965.54/31,065.86
  6. Step 6: Final answer
    x = 24,341.64

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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.