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Finding the Fourth Proportional to 29,442.81, 44,137.48 and 10,709.60

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Solution

The fourth proportional to 29,442.81, 44,137.48 and 10,709.60 is: 16,054.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,442.81 : 44,137.48 = 10,709.60 : x
  2. Step 2: Convert to fraction form
    29,442.81/44,137.48 = 10,709.60/x
  3. Step 3: Cross multiply
    29,442.81x = 44,137.48 × 10,709.60
  4. Step 4: Simplify right side
    29,442.81x = 472,694,481.57
  5. Step 5: Solve for x
    x = 472,694,481.57/29,442.81
  6. Step 6: Final answer
    x = 16,054.67

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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.