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Finding the Fourth Proportional to 31,622.39, 47,441.78 and 16,819.13

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Solution

The fourth proportional to 31,622.39, 47,441.78 and 16,819.13 is: 25,233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,622.39 : 47,441.78 = 16,819.13 : x
  2. Step 2: Convert to fraction form
    31,622.39/47,441.78 = 16,819.13/x
  3. Step 3: Cross multiply
    31,622.39x = 47,441.78 × 16,819.13
  4. Step 4: Simplify right side
    31,622.39x = 797,929,143.95
  5. Step 5: Solve for x
    x = 797,929,143.95/31,622.39
  6. Step 6: Final answer
    x = 25,233.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.