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Finding the Fourth Proportional to 64,506.49, 96,797.12 and 27,063.25

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Solution

The fourth proportional to 64,506.49, 96,797.12 and 27,063.25 is: 40,610.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,506.49 : 96,797.12 = 27,063.25 : x
  2. Step 2: Convert to fraction form
    64,506.49/96,797.12 = 27,063.25/x
  3. Step 3: Cross multiply
    64,506.49x = 96,797.12 × 27,063.25
  4. Step 4: Simplify right side
    64,506.49x = 2,619,644,657.84
  5. Step 5: Solve for x
    x = 2,619,644,657.84/64,506.49
  6. Step 6: Final answer
    x = 40,610.56

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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.