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Finding the Fourth Proportional to 34,662.28, 51,985.44 and 9,704.12

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Solution

The fourth proportional to 34,662.28, 51,985.44 and 9,704.12 is: 14,553.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,662.28 : 51,985.44 = 9,704.12 : x
  2. Step 2: Convert to fraction form
    34,662.28/51,985.44 = 9,704.12/x
  3. Step 3: Cross multiply
    34,662.28x = 51,985.44 × 9,704.12
  4. Step 4: Simplify right side
    34,662.28x = 504,472,948.01
  5. Step 5: Solve for x
    x = 504,472,948.01/34,662.28
  6. Step 6: Final answer
    x = 14,553.95

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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.