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Finding the Fourth Proportional to 33,406.60, 50,110.32 and 10,031.68

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Solution

The fourth proportional to 33,406.60, 50,110.32 and 10,031.68 is: 15,047.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,406.60 : 50,110.32 = 10,031.68 : x
  2. Step 2: Convert to fraction form
    33,406.60/50,110.32 = 10,031.68/x
  3. Step 3: Cross multiply
    33,406.60x = 50,110.32 × 10,031.68
  4. Step 4: Simplify right side
    33,406.60x = 502,690,694.94
  5. Step 5: Solve for x
    x = 502,690,694.94/33,406.60
  6. Step 6: Final answer
    x = 15,047.65

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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.