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Finding the Fourth Proportional to 73,195.96, 109,709.16 and 33,670.12

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Solution

The fourth proportional to 73,195.96, 109,709.16 and 33,670.12 is: 50,466.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,195.96 : 109,709.16 = 33,670.12 : x
  2. Step 2: Convert to fraction form
    73,195.96/109,709.16 = 33,670.12/x
  3. Step 3: Cross multiply
    73,195.96x = 109,709.16 × 33,670.12
  4. Step 4: Simplify right side
    73,195.96x = 3,693,920,582.30
  5. Step 5: Solve for x
    x = 3,693,920,582.30/73,195.96
  6. Step 6: Final answer
    x = 50,466.18

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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.