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Finding the Fourth Proportional to 54,920, 82,350.84 and 25,322.60

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Solution

The fourth proportional to 54,920, 82,350.84 and 25,322.60 is: 37,970.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,920 : 82,350.84 = 25,322.60 : x
  2. Step 2: Convert to fraction form
    54,920/82,350.84 = 25,322.60/x
  3. Step 3: Cross multiply
    54,920x = 82,350.84 × 25,322.60
  4. Step 4: Simplify right side
    54,920x = 2,085,337,380.98
  5. Step 5: Solve for x
    x = 2,085,337,380.98/54,920
  6. Step 6: Final answer
    x = 37,970.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.