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Finding the Fourth Proportional to 40,782.69, 61,173.27 and 11,199.42

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Solution

The fourth proportional to 40,782.69, 61,173.27 and 11,199.42 is: 16,798.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,782.69 : 61,173.27 = 11,199.42 : x
  2. Step 2: Convert to fraction form
    40,782.69/61,173.27 = 11,199.42/x
  3. Step 3: Cross multiply
    40,782.69x = 61,173.27 × 11,199.42
  4. Step 4: Simplify right side
    40,782.69x = 685,105,143.50
  5. Step 5: Solve for x
    x = 685,105,143.50/40,782.69
  6. Step 6: Final answer
    x = 16,798.92

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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.