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Finding the Fourth Proportional to 40,782.14, 61,174.38 and 11,200.22

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Solution

The fourth proportional to 40,782.14, 61,174.38 and 11,200.22 is: 16,800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,782.14 : 61,174.38 = 11,200.22 : x
  2. Step 2: Convert to fraction form
    40,782.14/61,174.38 = 11,200.22/x
  3. Step 3: Cross multiply
    40,782.14x = 61,174.38 × 11,200.22
  4. Step 4: Simplify right side
    40,782.14x = 685,166,514.36
  5. Step 5: Solve for x
    x = 685,166,514.36/40,782.14
  6. Step 6: Final answer
    x = 16,800.65

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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.