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Finding the Fourth Proportional to 33,514.03, 50,271 and 8,554.08

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Solution

The fourth proportional to 33,514.03, 50,271 and 8,554.08 is: 12,831.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,514.03 : 50,271 = 8,554.08 : x
  2. Step 2: Convert to fraction form
    33,514.03/50,271 = 8,554.08/x
  3. Step 3: Cross multiply
    33,514.03x = 50,271 × 8,554.08
  4. Step 4: Simplify right side
    33,514.03x = 430,022,155.68
  5. Step 5: Solve for x
    x = 430,022,155.68/33,514.03
  6. Step 6: Final answer
    x = 12,831.11

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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.