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Finding the Fourth Proportional to 33,871.80, 50,809.30 and 10,514.60

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Solution

The fourth proportional to 33,871.80, 50,809.30 and 10,514.60 is: 15,772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,871.80 : 50,809.30 = 10,514.60 : x
  2. Step 2: Convert to fraction form
    33,871.80/50,809.30 = 10,514.60/x
  3. Step 3: Cross multiply
    33,871.80x = 50,809.30 × 10,514.60
  4. Step 4: Simplify right side
    33,871.80x = 534,239,465.78
  5. Step 5: Solve for x
    x = 534,239,465.78/33,871.80
  6. Step 6: Final answer
    x = 15,772.40

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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.