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Finding the Fourth Proportional to 116,119.50, 174,208.50 and 33,013.50

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Solution

The fourth proportional to 116,119.50, 174,208.50 and 33,013.50 is: 49,528.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,119.50 : 174,208.50 = 33,013.50 : x
  2. Step 2: Convert to fraction form
    116,119.50/174,208.50 = 33,013.50/x
  3. Step 3: Cross multiply
    116,119.50x = 174,208.50 × 33,013.50
  4. Step 4: Simplify right side
    116,119.50x = 5,751,232,314.75
  5. Step 5: Solve for x
    x = 5,751,232,314.75/116,119.50
  6. Step 6: Final answer
    x = 49,528.57

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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.