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Finding the Fourth Proportional to 51,296.78, 76,955.10 and 19,704.50

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Solution

The fourth proportional to 51,296.78, 76,955.10 and 19,704.50 is: 29,560.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,296.78 : 76,955.10 = 19,704.50 : x
  2. Step 2: Convert to fraction form
    51,296.78/76,955.10 = 19,704.50/x
  3. Step 3: Cross multiply
    51,296.78x = 76,955.10 × 19,704.50
  4. Step 4: Simplify right side
    51,296.78x = 1,516,361,767.95
  5. Step 5: Solve for x
    x = 1,516,361,767.95/51,296.78
  6. Step 6: Final answer
    x = 29,560.56

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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.