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Finding the Fourth Proportional to 59,022.40, 81,450.60 and 33,880

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Solution

The fourth proportional to 59,022.40, 81,450.60 and 33,880 is: 46,754.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,022.40 : 81,450.60 = 33,880 : x
  2. Step 2: Convert to fraction form
    59,022.40/81,450.60 = 33,880/x
  3. Step 3: Cross multiply
    59,022.40x = 81,450.60 × 33,880
  4. Step 4: Simplify right side
    59,022.40x = 2,759,546,328
  5. Step 5: Solve for x
    x = 2,759,546,328/59,022.40
  6. Step 6: Final answer
    x = 46,754.22

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Why These Related Problems?

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