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Finding the Fourth Proportional to 29,584.58, 44,367.28 and 9,858.54

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Solution

The fourth proportional to 29,584.58, 44,367.28 and 9,858.54 is: 14,784.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,584.58 : 44,367.28 = 9,858.54 : x
  2. Step 2: Convert to fraction form
    29,584.58/44,367.28 = 9,858.54/x
  3. Step 3: Cross multiply
    29,584.58x = 44,367.28 × 9,858.54
  4. Step 4: Simplify right side
    29,584.58x = 437,396,604.57
  5. Step 5: Solve for x
    x = 437,396,604.57/29,584.58
  6. Step 6: Final answer
    x = 14,784.61

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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.