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Finding the Fourth Proportional to 70,613.22, 105,934.42 and 20,694.95

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Solution

The fourth proportional to 70,613.22, 105,934.42 and 20,694.95 is: 31,046.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,613.22 : 105,934.42 = 20,694.95 : x
  2. Step 2: Convert to fraction form
    70,613.22/105,934.42 = 20,694.95/x
  3. Step 3: Cross multiply
    70,613.22x = 105,934.42 × 20,694.95
  4. Step 4: Simplify right side
    70,613.22x = 2,192,307,525.18
  5. Step 5: Solve for x
    x = 2,192,307,525.18/70,613.22
  6. Step 6: Final answer
    x = 31,046.70

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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.