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Finding the Fourth Proportional to 33,645.96, 50,483.70 and 13,929

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Solution

The fourth proportional to 33,645.96, 50,483.70 and 13,929 is: 20,899.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,645.96 : 50,483.70 = 13,929 : x
  2. Step 2: Convert to fraction form
    33,645.96/50,483.70 = 13,929/x
  3. Step 3: Cross multiply
    33,645.96x = 50,483.70 × 13,929
  4. Step 4: Simplify right side
    33,645.96x = 703,187,457.30
  5. Step 5: Solve for x
    x = 703,187,457.30/33,645.96
  6. Step 6: Final answer
    x = 20,899.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.