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Finding the Fourth Proportional to 33,771.42, 50,655.92 and 10,397.25

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Solution

The fourth proportional to 33,771.42, 50,655.92 and 10,397.25 is: 15,595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,771.42 : 50,655.92 = 10,397.25 : x
  2. Step 2: Convert to fraction form
    33,771.42/50,655.92 = 10,397.25/x
  3. Step 3: Cross multiply
    33,771.42x = 50,655.92 × 10,397.25
  4. Step 4: Simplify right side
    33,771.42x = 526,682,212.23
  5. Step 5: Solve for x
    x = 526,682,212.23/33,771.42
  6. Step 6: Final answer
    x = 15,595.50

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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.