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Finding the Fourth Proportional to 34,727.64, 47,906.54 and 21,959.30

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Solution

The fourth proportional to 34,727.64, 47,906.54 and 21,959.30 is: 30,292.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,727.64 : 47,906.54 = 21,959.30 : x
  2. Step 2: Convert to fraction form
    34,727.64/47,906.54 = 21,959.30/x
  3. Step 3: Cross multiply
    34,727.64x = 47,906.54 × 21,959.30
  4. Step 4: Simplify right side
    34,727.64x = 1,051,994,176.14
  5. Step 5: Solve for x
    x = 1,051,994,176.14/34,727.64
  6. Step 6: Final answer
    x = 30,292.71

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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.