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Finding the Fourth Proportional to 29,678.96, 44,432.24 and 20,783.27

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Solution

The fourth proportional to 29,678.96, 44,432.24 and 20,783.27 is: 31,114.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,678.96 : 44,432.24 = 20,783.27 : x
  2. Step 2: Convert to fraction form
    29,678.96/44,432.24 = 20,783.27/x
  3. Step 3: Cross multiply
    29,678.96x = 44,432.24 × 20,783.27
  4. Step 4: Simplify right side
    29,678.96x = 923,446,914.55
  5. Step 5: Solve for x
    x = 923,446,914.55/29,678.96
  6. Step 6: Final answer
    x = 31,114.54

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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.