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Finding the Fourth Proportional to 33,409.60, 50,114.82 and 10,034.68

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Solution

The fourth proportional to 33,409.60, 50,114.82 and 10,034.68 is: 15,052.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,409.60 : 50,114.82 = 10,034.68 : x
  2. Step 2: Convert to fraction form
    33,409.60/50,114.82 = 10,034.68/x
  3. Step 3: Cross multiply
    33,409.60x = 50,114.82 × 10,034.68
  4. Step 4: Simplify right side
    33,409.60x = 502,886,181.96
  5. Step 5: Solve for x
    x = 502,886,181.96/33,409.60
  6. Step 6: Final answer
    x = 15,052.15

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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.