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Finding the Fourth Proportional to 29,550.60, 44,325 and 9,829.44

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Solution

The fourth proportional to 29,550.60, 44,325 and 9,829.44 is: 14,743.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,550.60 : 44,325 = 9,829.44 : x
  2. Step 2: Convert to fraction form
    29,550.60/44,325 = 9,829.44/x
  3. Step 3: Cross multiply
    29,550.60x = 44,325 × 9,829.44
  4. Step 4: Simplify right side
    29,550.60x = 435,689,928
  5. Step 5: Solve for x
    x = 435,689,928/29,550.60
  6. Step 6: Final answer
    x = 14,743.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.