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Finding the Fourth Proportional to 33,644, 50,459.52 and 11,457.20

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Solution

The fourth proportional to 33,644, 50,459.52 and 11,457.20 is: 17,183.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,644 : 50,459.52 = 11,457.20 : x
  2. Step 2: Convert to fraction form
    33,644/50,459.52 = 11,457.20/x
  3. Step 3: Cross multiply
    33,644x = 50,459.52 × 11,457.20
  4. Step 4: Simplify right side
    33,644x = 578,124,812.54
  5. Step 5: Solve for x
    x = 578,124,812.54/33,644
  6. Step 6: Final answer
    x = 17,183.59

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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.