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Finding the Fourth Proportional to 64,296, 96,444 and 29,245.68

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Solution

The fourth proportional to 64,296, 96,444 and 29,245.68 is: 43,868.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,296 : 96,444 = 29,245.68 : x
  2. Step 2: Convert to fraction form
    64,296/96,444 = 29,245.68/x
  3. Step 3: Cross multiply
    64,296x = 96,444 × 29,245.68
  4. Step 4: Simplify right side
    64,296x = 2,820,570,361.92
  5. Step 5: Solve for x
    x = 2,820,570,361.92/64,296
  6. Step 6: Final answer
    x = 43,868.52

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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.