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Finding the Fourth Proportional to 64,754.42, 97,131.87 and 33,147.23

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Solution

The fourth proportional to 64,754.42, 97,131.87 and 33,147.23 is: 49,720.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,754.42 : 97,131.87 = 33,147.23 : x
  2. Step 2: Convert to fraction form
    64,754.42/97,131.87 = 33,147.23/x
  3. Step 3: Cross multiply
    64,754.42x = 97,131.87 × 33,147.23
  4. Step 4: Simplify right side
    64,754.42x = 3,219,651,949.56
  5. Step 5: Solve for x
    x = 3,219,651,949.56/64,754.42
  6. Step 6: Final answer
    x = 49,720.96

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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.