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Finding the Fourth Proportional to 30,286.56, 41,782.32 and 21,332.64

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Solution

The fourth proportional to 30,286.56, 41,782.32 and 21,332.64 is: 29,429.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,286.56 : 41,782.32 = 21,332.64 : x
  2. Step 2: Convert to fraction form
    30,286.56/41,782.32 = 21,332.64/x
  3. Step 3: Cross multiply
    30,286.56x = 41,782.32 × 21,332.64
  4. Step 4: Simplify right side
    30,286.56x = 891,327,190.92
  5. Step 5: Solve for x
    x = 891,327,190.92/30,286.56
  6. Step 6: Final answer
    x = 29,429.79

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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.