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Finding the Fourth Proportional to 34,481.90, 51,721.80 and 9,523.46

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Solution

The fourth proportional to 34,481.90, 51,721.80 and 9,523.46 is: 14,284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,481.90 : 51,721.80 = 9,523.46 : x
  2. Step 2: Convert to fraction form
    34,481.90/51,721.80 = 9,523.46/x
  3. Step 3: Cross multiply
    34,481.90x = 51,721.80 × 9,523.46
  4. Step 4: Simplify right side
    34,481.90x = 492,570,493.43
  5. Step 5: Solve for x
    x = 492,570,493.43/34,481.90
  6. Step 6: Final answer
    x = 14,284.90

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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.