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Finding the Fourth Proportional to 34,244.16, 51,368 and 9,622.08

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Solution

The fourth proportional to 34,244.16, 51,368 and 9,622.08 is: 14,433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,244.16 : 51,368 = 9,622.08 : x
  2. Step 2: Convert to fraction form
    34,244.16/51,368 = 9,622.08/x
  3. Step 3: Cross multiply
    34,244.16x = 51,368 × 9,622.08
  4. Step 4: Simplify right side
    34,244.16x = 494,267,005.44
  5. Step 5: Solve for x
    x = 494,267,005.44/34,244.16
  6. Step 6: Final answer
    x = 14,433.61

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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.