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Finding the Fourth Proportional to 64,768.62, 97,090.65 and 33,193.62

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Solution

The fourth proportional to 64,768.62, 97,090.65 and 33,193.62 is: 49,758.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,768.62 : 97,090.65 = 33,193.62 : x
  2. Step 2: Convert to fraction form
    64,768.62/97,090.65 = 33,193.62/x
  3. Step 3: Cross multiply
    64,768.62x = 97,090.65 × 33,193.62
  4. Step 4: Simplify right side
    64,768.62x = 3,222,790,141.65
  5. Step 5: Solve for x
    x = 3,222,790,141.65/64,768.62
  6. Step 6: Final answer
    x = 49,758.51

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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.