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Finding the Fourth Proportional to 31,819.84, 43,910.76 and 17,672.44

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Solution

The fourth proportional to 31,819.84, 43,910.76 and 17,672.44 is: 24,387.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,819.84 : 43,910.76 = 17,672.44 : x
  2. Step 2: Convert to fraction form
    31,819.84/43,910.76 = 17,672.44/x
  3. Step 3: Cross multiply
    31,819.84x = 43,910.76 × 17,672.44
  4. Step 4: Simplify right side
    31,819.84x = 776,010,271.45
  5. Step 5: Solve for x
    x = 776,010,271.45/31,819.84
  6. Step 6: Final answer
    x = 24,387.62

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1.5x scale

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.