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Finding the Fourth Proportional to 29,464.82, 44,203.90 and 9,745.46

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Solution

The fourth proportional to 29,464.82, 44,203.90 and 9,745.46 is: 14,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,464.82 : 44,203.90 = 9,745.46 : x
  2. Step 2: Convert to fraction form
    29,464.82/44,203.90 = 9,745.46/x
  3. Step 3: Cross multiply
    29,464.82x = 44,203.90 × 9,745.46
  4. Step 4: Simplify right side
    29,464.82x = 430,787,339.29
  5. Step 5: Solve for x
    x = 430,787,339.29/29,464.82
  6. Step 6: Final answer
    x = 14,620.40

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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.