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Finding the Fourth Proportional to 34,509.45, 51,764.11 and 9,549.43

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Solution

The fourth proportional to 34,509.45, 51,764.11 and 9,549.43 is: 14,324.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,509.45 : 51,764.11 = 9,549.43 : x
  2. Step 2: Convert to fraction form
    34,509.45/51,764.11 = 9,549.43/x
  3. Step 3: Cross multiply
    34,509.45x = 51,764.11 × 9,549.43
  4. Step 4: Simplify right side
    34,509.45x = 494,317,438.39
  5. Step 5: Solve for x
    x = 494,317,438.39/34,509.45
  6. Step 6: Final answer
    x = 14,324.12

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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.