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Finding the Fourth Proportional to 64,896, 97,392.96 and 33,728.64

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Solution

The fourth proportional to 64,896, 97,392.96 and 33,728.64 is: 50,618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,896 : 97,392.96 = 33,728.64 : x
  2. Step 2: Convert to fraction form
    64,896/97,392.96 = 33,728.64/x
  3. Step 3: Cross multiply
    64,896x = 97,392.96 × 33,728.64
  4. Step 4: Simplify right side
    64,896x = 3,284,932,086.37
  5. Step 5: Solve for x
    x = 3,284,932,086.37/64,896
  6. Step 6: Final answer
    x = 50,618.41

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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.