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Finding the Fourth Proportional to 54,761.91, 81,982.70 and 49,509

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Solution

The fourth proportional to 54,761.91, 81,982.70 and 49,509 is: 74,118.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,761.91 : 81,982.70 = 49,509 : x
  2. Step 2: Convert to fraction form
    54,761.91/81,982.70 = 49,509/x
  3. Step 3: Cross multiply
    54,761.91x = 81,982.70 × 49,509
  4. Step 4: Simplify right side
    54,761.91x = 4,058,881,246.76
  5. Step 5: Solve for x
    x = 4,058,881,246.76/54,761.91
  6. Step 6: Final answer
    x = 74,118.69

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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.