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Finding the Fourth Proportional to 64,736.82, 97,064.73 and 27,277.56

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Solution

The fourth proportional to 64,736.82, 97,064.73 and 27,277.56 is: 40,899.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,736.82 : 97,064.73 = 27,277.56 : x
  2. Step 2: Convert to fraction form
    64,736.82/97,064.73 = 27,277.56/x
  3. Step 3: Cross multiply
    64,736.82x = 97,064.73 × 27,277.56
  4. Step 4: Simplify right side
    64,736.82x = 2,647,688,996.46
  5. Step 5: Solve for x
    x = 2,647,688,996.46/64,736.82
  6. Step 6: Final answer
    x = 40,899.27

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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.