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Finding the Fourth Proportional to 33,598.50, 50,274.72 and 31,796.07

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Solution

The fourth proportional to 33,598.50, 50,274.72 and 31,796.07 is: 47,577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,598.50 : 50,274.72 = 31,796.07 : x
  2. Step 2: Convert to fraction form
    33,598.50/50,274.72 = 31,796.07/x
  3. Step 3: Cross multiply
    33,598.50x = 50,274.72 × 31,796.07
  4. Step 4: Simplify right side
    33,598.50x = 1,598,538,516.35
  5. Step 5: Solve for x
    x = 1,598,538,516.35/33,598.50
  6. Step 6: Final answer
    x = 47,577.68

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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.