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Finding the Fourth Proportional to 64,493.84, 96,758.22 and 27,034.16

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Solution

The fourth proportional to 64,493.84, 96,758.22 and 27,034.16 is: 40,558.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,493.84 : 96,758.22 = 27,034.16 : x
  2. Step 2: Convert to fraction form
    64,493.84/96,758.22 = 27,034.16/x
  3. Step 3: Cross multiply
    64,493.84x = 96,758.22 × 27,034.16
  4. Step 4: Simplify right side
    64,493.84x = 2,615,777,200.80
  5. Step 5: Solve for x
    x = 2,615,777,200.80/64,493.84
  6. Step 6: Final answer
    x = 40,558.56

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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.