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Finding the Fourth Proportional to 87,870, 121,260.42 and 47,583.75

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Solution

The fourth proportional to 87,870, 121,260.42 and 47,583.75 is: 65,665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,870 : 121,260.42 = 47,583.75 : x
  2. Step 2: Convert to fraction form
    87,870/121,260.42 = 47,583.75/x
  3. Step 3: Cross multiply
    87,870x = 121,260.42 × 47,583.75
  4. Step 4: Simplify right side
    87,870x = 5,770,025,510.18
  5. Step 5: Solve for x
    x = 5,770,025,510.18/87,870
  6. Step 6: Final answer
    x = 65,665.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.