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Finding the Fourth Proportional to 34,643.20, 51,964.92 and 9,683.09

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Solution

The fourth proportional to 34,643.20, 51,964.92 and 9,683.09 is: 14,524.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,643.20 : 51,964.92 = 9,683.09 : x
  2. Step 2: Convert to fraction form
    34,643.20/51,964.92 = 9,683.09/x
  3. Step 3: Cross multiply
    34,643.20x = 51,964.92 × 9,683.09
  4. Step 4: Simplify right side
    34,643.20x = 503,180,997.20
  5. Step 5: Solve for x
    x = 503,180,997.20/34,643.20
  6. Step 6: Final answer
    x = 14,524.67

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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.