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Finding the Fourth Proportional to 38,964.64, 53,770.80 and 22,198

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Solution

The fourth proportional to 38,964.64, 53,770.80 and 22,198 is: 30,633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,964.64 : 53,770.80 = 22,198 : x
  2. Step 2: Convert to fraction form
    38,964.64/53,770.80 = 22,198/x
  3. Step 3: Cross multiply
    38,964.64x = 53,770.80 × 22,198
  4. Step 4: Simplify right side
    38,964.64x = 1,193,604,218.40
  5. Step 5: Solve for x
    x = 1,193,604,218.40/38,964.64
  6. Step 6: Final answer
    x = 30,633.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.