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Finding the Fourth Proportional to 69,993.75, 105,001.20 and 22,593

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Solution

The fourth proportional to 69,993.75, 105,001.20 and 22,593 is: 33,892.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,993.75 : 105,001.20 = 22,593 : x
  2. Step 2: Convert to fraction form
    69,993.75/105,001.20 = 22,593/x
  3. Step 3: Cross multiply
    69,993.75x = 105,001.20 × 22,593
  4. Step 4: Simplify right side
    69,993.75x = 2,372,292,111.60
  5. Step 5: Solve for x
    x = 2,372,292,111.60/69,993.75
  6. Step 6: Final answer
    x = 33,892.91

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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.