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Finding the Fourth Proportional to 34,791.65, 52,181.46 and 9,825.86

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Solution

The fourth proportional to 34,791.65, 52,181.46 and 9,825.86 is: 14,737.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,791.65 : 52,181.46 = 9,825.86 : x
  2. Step 2: Convert to fraction form
    34,791.65/52,181.46 = 9,825.86/x
  3. Step 3: Cross multiply
    34,791.65x = 52,181.46 × 9,825.86
  4. Step 4: Simplify right side
    34,791.65x = 512,727,459.65
  5. Step 5: Solve for x
    x = 512,727,459.65/34,791.65
  6. Step 6: Final answer
    x = 14,737.09

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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.