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Finding the Fourth Proportional to 34,622.18, 51,942.00 and 9,662.20

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Solution

The fourth proportional to 34,622.18, 51,942.00 and 9,662.20 is: 14,495.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,622.18 : 51,942.00 = 9,662.20 : x
  2. Step 2: Convert to fraction form
    34,622.18/51,942.00 = 9,662.20/x
  3. Step 3: Cross multiply
    34,622.18x = 51,942.00 × 9,662.20
  4. Step 4: Simplify right side
    34,622.18x = 501,874,190.95
  5. Step 5: Solve for x
    x = 501,874,190.95/34,622.18
  6. Step 6: Final answer
    x = 14,495.74

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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.