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Finding the Fourth Proportional to 76,844.96, 115,254.48 and 21,428

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Solution

The fourth proportional to 76,844.96, 115,254.48 and 21,428 is: 32,138.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,844.96 : 115,254.48 = 21,428 : x
  2. Step 2: Convert to fraction form
    76,844.96/115,254.48 = 21,428/x
  3. Step 3: Cross multiply
    76,844.96x = 115,254.48 × 21,428
  4. Step 4: Simplify right side
    76,844.96x = 2,469,672,997.44
  5. Step 5: Solve for x
    x = 2,469,672,997.44/76,844.96
  6. Step 6: Final answer
    x = 32,138.39

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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.