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Finding the Fourth Proportional to 73,193.96, 109,706.16 and 33,668.12

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Solution

The fourth proportional to 73,193.96, 109,706.16 and 33,668.12 is: 50,463.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,193.96 : 109,706.16 = 33,668.12 : x
  2. Step 2: Convert to fraction form
    73,193.96/109,706.16 = 33,668.12/x
  3. Step 3: Cross multiply
    73,193.96x = 109,706.16 × 33,668.12
  4. Step 4: Simplify right side
    73,193.96x = 3,693,600,159.62
  5. Step 5: Solve for x
    x = 3,693,600,159.62/73,193.96
  6. Step 6: Final answer
    x = 50,463.18

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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.