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Finding the Fourth Proportional to 75,771.72, 113,617.44 and 33,633.48

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Solution

The fourth proportional to 75,771.72, 113,617.44 and 33,633.48 is: 50,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,771.72 : 113,617.44 = 33,633.48 : x
  2. Step 2: Convert to fraction form
    75,771.72/113,617.44 = 33,633.48/x
  3. Step 3: Cross multiply
    75,771.72x = 113,617.44 × 33,633.48
  4. Step 4: Simplify right side
    75,771.72x = 3,821,349,895.89
  5. Step 5: Solve for x
    x = 3,821,349,895.89/75,771.72
  6. Step 6: Final answer
    x = 50,432.40

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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.