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Finding the Fourth Proportional to 41,311.98, 61,967.88 and 11,730.11

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Solution

The fourth proportional to 41,311.98, 61,967.88 and 11,730.11 is: 17,595.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,311.98 : 61,967.88 = 11,730.11 : x
  2. Step 2: Convert to fraction form
    41,311.98/61,967.88 = 11,730.11/x
  3. Step 3: Cross multiply
    41,311.98x = 61,967.88 × 11,730.11
  4. Step 4: Simplify right side
    41,311.98x = 726,889,739.03
  5. Step 5: Solve for x
    x = 726,889,739.03/41,311.98
  6. Step 6: Final answer
    x = 17,595.13

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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.