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Finding the Fourth Proportional to 34,489.44, 51,732.72 and 9,865.44

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Solution

The fourth proportional to 34,489.44, 51,732.72 and 9,865.44 is: 14,797.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,489.44 : 51,732.72 = 9,865.44 : x
  2. Step 2: Convert to fraction form
    34,489.44/51,732.72 = 9,865.44/x
  3. Step 3: Cross multiply
    34,489.44x = 51,732.72 × 9,865.44
  4. Step 4: Simplify right side
    34,489.44x = 510,366,045.20
  5. Step 5: Solve for x
    x = 510,366,045.20/34,489.44
  6. Step 6: Final answer
    x = 14,797.75

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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.