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Finding the Fourth Proportional to 51,227.64, 76,832.82 and 14,283

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Solution

The fourth proportional to 51,227.64, 76,832.82 and 14,283 is: 21,422.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,227.64 : 76,832.82 = 14,283 : x
  2. Step 2: Convert to fraction form
    51,227.64/76,832.82 = 14,283/x
  3. Step 3: Cross multiply
    51,227.64x = 76,832.82 × 14,283
  4. Step 4: Simplify right side
    51,227.64x = 1,097,403,168.06
  5. Step 5: Solve for x
    x = 1,097,403,168.06/51,227.64
  6. Step 6: Final answer
    x = 21,422.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.