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Finding the Fourth Proportional to 29,553.10, 44,333.70 and 9,829.60

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Solution

The fourth proportional to 29,553.10, 44,333.70 and 9,829.60 is: 14,745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,553.10 : 44,333.70 = 9,829.60 : x
  2. Step 2: Convert to fraction form
    29,553.10/44,333.70 = 9,829.60/x
  3. Step 3: Cross multiply
    29,553.10x = 44,333.70 × 9,829.60
  4. Step 4: Simplify right side
    29,553.10x = 435,782,537.52
  5. Step 5: Solve for x
    x = 435,782,537.52/29,553.10
  6. Step 6: Final answer
    x = 14,745.75

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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.