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Finding the Fourth Proportional to 117,100.50, 175,655.61 and 33,994.50

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Solution

The fourth proportional to 117,100.50, 175,655.61 and 33,994.50 is: 50,993.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,100.50 : 175,655.61 = 33,994.50 : x
  2. Step 2: Convert to fraction form
    117,100.50/175,655.61 = 33,994.50/x
  3. Step 3: Cross multiply
    117,100.50x = 175,655.61 × 33,994.50
  4. Step 4: Simplify right side
    117,100.50x = 5,971,324,634.15
  5. Step 5: Solve for x
    x = 5,971,324,634.15/117,100.50
  6. Step 6: Final answer
    x = 50,993.16

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