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Finding the Fourth Proportional to 70,523.92, 105,734.04 and 33,613.84

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Solution

The fourth proportional to 70,523.92, 105,734.04 and 33,613.84 is: 50,396.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,523.92 : 105,734.04 = 33,613.84 : x
  2. Step 2: Convert to fraction form
    70,523.92/105,734.04 = 33,613.84/x
  3. Step 3: Cross multiply
    70,523.92x = 105,734.04 × 33,613.84
  4. Step 4: Simplify right side
    70,523.92x = 3,554,127,103.11
  5. Step 5: Solve for x
    x = 3,554,127,103.11/70,523.92
  6. Step 6: Final answer
    x = 50,396.05

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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.