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Finding the Fourth Proportional to 81,646.96, 122,481 and 56,299.36

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Solution

The fourth proportional to 81,646.96, 122,481 and 56,299.36 is: 84,456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,646.96 : 122,481 = 56,299.36 : x
  2. Step 2: Convert to fraction form
    81,646.96/122,481 = 56,299.36/x
  3. Step 3: Cross multiply
    81,646.96x = 122,481 × 56,299.36
  4. Step 4: Simplify right side
    81,646.96x = 6,895,601,912.16
  5. Step 5: Solve for x
    x = 6,895,601,912.16/81,646.96
  6. Step 6: Final answer
    x = 84,456.32

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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.