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Finding the Fourth Proportional to 31,294.72, 43,185.04 and 17,865.46

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Solution

The fourth proportional to 31,294.72, 43,185.04 and 17,865.46 is: 24,653.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,294.72 : 43,185.04 = 17,865.46 : x
  2. Step 2: Convert to fraction form
    31,294.72/43,185.04 = 17,865.46/x
  3. Step 3: Cross multiply
    31,294.72x = 43,185.04 × 17,865.46
  4. Step 4: Simplify right side
    31,294.72x = 771,520,604.72
  5. Step 5: Solve for x
    x = 771,520,604.72/31,294.72
  6. Step 6: Final answer
    x = 24,653.38

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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.