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Finding the Fourth Proportional to 89,189.50, 133,784.26 and 33,785.50

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Solution

The fourth proportional to 89,189.50, 133,784.26 and 33,785.50 is: 50,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,189.50 : 133,784.26 = 33,785.50 : x
  2. Step 2: Convert to fraction form
    89,189.50/133,784.26 = 33,785.50/x
  3. Step 3: Cross multiply
    89,189.50x = 133,784.26 × 33,785.50
  4. Step 4: Simplify right side
    89,189.50x = 4,519,968,116.23
  5. Step 5: Solve for x
    x = 4,519,968,116.23/89,189.50
  6. Step 6: Final answer
    x = 50,678.25

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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.