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Finding the Fourth Proportional to 38,197.30, 52,713.12 and 22,282.82

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Solution

The fourth proportional to 38,197.30, 52,713.12 and 22,282.82 is: 30,750.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,197.30 : 52,713.12 = 22,282.82 : x
  2. Step 2: Convert to fraction form
    38,197.30/52,713.12 = 22,282.82/x
  3. Step 3: Cross multiply
    38,197.30x = 52,713.12 × 22,282.82
  4. Step 4: Simplify right side
    38,197.30x = 1,174,596,964.60
  5. Step 5: Solve for x
    x = 1,174,596,964.60/38,197.30
  6. Step 6: Final answer
    x = 30,750.79

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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.