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Finding the Fourth Proportional to 33,820.08, 50,715.54 and 13,029

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Solution

The fourth proportional to 33,820.08, 50,715.54 and 13,029 is: 19,537.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,820.08 : 50,715.54 = 13,029 : x
  2. Step 2: Convert to fraction form
    33,820.08/50,715.54 = 13,029/x
  3. Step 3: Cross multiply
    33,820.08x = 50,715.54 × 13,029
  4. Step 4: Simplify right side
    33,820.08x = 660,772,770.66
  5. Step 5: Solve for x
    x = 660,772,770.66/33,820.08
  6. Step 6: Final answer
    x = 19,537.88

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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.