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Finding the Fourth Proportional to 117,099, 175,653.36 and 33,993

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Solution

The fourth proportional to 117,099, 175,653.36 and 33,993 is: 50,990.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,099 : 175,653.36 = 33,993 : x
  2. Step 2: Convert to fraction form
    117,099/175,653.36 = 33,993/x
  3. Step 3: Cross multiply
    117,099x = 175,653.36 × 33,993
  4. Step 4: Simplify right side
    117,099x = 5,970,984,666.48
  5. Step 5: Solve for x
    x = 5,970,984,666.48/117,099
  6. Step 6: Final answer
    x = 50,990.91

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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.