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Finding the Fourth Proportional to 31,968.76, 44,118.38 and 17,821.70

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Solution

The fourth proportional to 31,968.76, 44,118.38 and 17,821.70 is: 24,594.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,968.76 : 44,118.38 = 17,821.70 : x
  2. Step 2: Convert to fraction form
    31,968.76/44,118.38 = 17,821.70/x
  3. Step 3: Cross multiply
    31,968.76x = 44,118.38 × 17,821.70
  4. Step 4: Simplify right side
    31,968.76x = 786,264,532.85
  5. Step 5: Solve for x
    x = 786,264,532.85/31,968.76
  6. Step 6: Final answer
    x = 24,594.78

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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.