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Finding the Fourth Proportional to 64,884.56, 97,324.78 and 27,434.46

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Solution

The fourth proportional to 64,884.56, 97,324.78 and 27,434.46 is: 41,150.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,884.56 : 97,324.78 = 27,434.46 : x
  2. Step 2: Convert to fraction form
    64,884.56/97,324.78 = 27,434.46/x
  3. Step 3: Cross multiply
    64,884.56x = 97,324.78 × 27,434.46
  4. Step 4: Simplify right side
    64,884.56x = 2,670,052,783.92
  5. Step 5: Solve for x
    x = 2,670,052,783.92/64,884.56
  6. Step 6: Final answer
    x = 41,150.82

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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.