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Finding the Fourth Proportional to 111,782.49, 167,690.34 and 36,910.50

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Solution

The fourth proportional to 111,782.49, 167,690.34 and 36,910.50 is: 55,371.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,782.49 : 167,690.34 = 36,910.50 : x
  2. Step 2: Convert to fraction form
    111,782.49/167,690.34 = 36,910.50/x
  3. Step 3: Cross multiply
    111,782.49x = 167,690.34 × 36,910.50
  4. Step 4: Simplify right side
    111,782.49x = 6,189,534,294.57
  5. Step 5: Solve for x
    x = 6,189,534,294.57/111,782.49
  6. Step 6: Final answer
    x = 55,371.23

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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.