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Finding the Fourth Proportional to 89,205.76, 123,033.09 and 75,821.32

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Solution

The fourth proportional to 89,205.76, 123,033.09 and 75,821.32 is: 104,573.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,205.76 : 123,033.09 = 75,821.32 : x
  2. Step 2: Convert to fraction form
    89,205.76/123,033.09 = 75,821.32/x
  3. Step 3: Cross multiply
    89,205.76x = 123,033.09 × 75,821.32
  4. Step 4: Simplify right side
    89,205.76x = 9,328,531,287.48
  5. Step 5: Solve for x
    x = 9,328,531,287.48/89,205.76
  6. Step 6: Final answer
    x = 104,573.19

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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.