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Finding the Fourth Proportional to 82,285.54, 123,428.31 and 19,955.50

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Solution

The fourth proportional to 82,285.54, 123,428.31 and 19,955.50 is: 29,933.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,285.54 : 123,428.31 = 19,955.50 : x
  2. Step 2: Convert to fraction form
    82,285.54/123,428.31 = 19,955.50/x
  3. Step 3: Cross multiply
    82,285.54x = 123,428.31 × 19,955.50
  4. Step 4: Simplify right side
    82,285.54x = 2,463,073,640.21
  5. Step 5: Solve for x
    x = 2,463,073,640.21/82,285.54
  6. Step 6: Final answer
    x = 29,933.25

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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.