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Finding the Fourth Proportional to 33,575.34, 50,078.04 and 32,984.94

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Solution

The fourth proportional to 33,575.34, 50,078.04 and 32,984.94 is: 49,197.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,575.34 : 50,078.04 = 32,984.94 : x
  2. Step 2: Convert to fraction form
    33,575.34/50,078.04 = 32,984.94/x
  3. Step 3: Cross multiply
    33,575.34x = 50,078.04 × 32,984.94
  4. Step 4: Simplify right side
    33,575.34x = 1,651,821,144.72
  5. Step 5: Solve for x
    x = 1,651,821,144.72/33,575.34
  6. Step 6: Final answer
    x = 49,197.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.