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Finding the Fourth Proportional to 51,228.83, 76,843.24 and 13,788.98

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Solution

The fourth proportional to 51,228.83, 76,843.24 and 13,788.98 is: 20,683.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,228.83 : 76,843.24 = 13,788.98 : x
  2. Step 2: Convert to fraction form
    51,228.83/76,843.24 = 13,788.98/x
  3. Step 3: Cross multiply
    51,228.83x = 76,843.24 × 13,788.98
  4. Step 4: Simplify right side
    51,228.83x = 1,059,589,899.50
  5. Step 5: Solve for x
    x = 1,059,589,899.50/51,228.83
  6. Step 6: Final answer
    x = 20,683.47

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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.