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Finding the Fourth Proportional to 43,322.32, 64,964.04 and 19,936

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Solution

The fourth proportional to 43,322.32, 64,964.04 and 19,936 is: 29,895.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,322.32 : 64,964.04 = 19,936 : x
  2. Step 2: Convert to fraction form
    43,322.32/64,964.04 = 19,936/x
  3. Step 3: Cross multiply
    43,322.32x = 64,964.04 × 19,936
  4. Step 4: Simplify right side
    43,322.32x = 1,295,123,101.44
  5. Step 5: Solve for x
    x = 1,295,123,101.44/43,322.32
  6. Step 6: Final answer
    x = 29,895.05

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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.