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Finding the Fourth Proportional to 38,144.72, 52,621 and 33,101.86

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Solution

The fourth proportional to 38,144.72, 52,621 and 33,101.86 is: 45,664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,144.72 : 52,621 = 33,101.86 : x
  2. Step 2: Convert to fraction form
    38,144.72/52,621 = 33,101.86/x
  3. Step 3: Cross multiply
    38,144.72x = 52,621 × 33,101.86
  4. Step 4: Simplify right side
    38,144.72x = 1,741,852,975.06
  5. Step 5: Solve for x
    x = 1,741,852,975.06/38,144.72
  6. Step 6: Final answer
    x = 45,664.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.