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Finding the Fourth Proportional to 34,415.99, 51,593.40 and 12,226.44

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Solution

The fourth proportional to 34,415.99, 51,593.40 and 12,226.44 is: 18,328.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,415.99 : 51,593.40 = 12,226.44 : x
  2. Step 2: Convert to fraction form
    34,415.99/51,593.40 = 12,226.44/x
  3. Step 3: Cross multiply
    34,415.99x = 51,593.40 × 12,226.44
  4. Step 4: Simplify right side
    34,415.99x = 630,803,609.50
  5. Step 5: Solve for x
    x = 630,803,609.50/34,415.99
  6. Step 6: Final answer
    x = 18,328.79

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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.