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Finding the Fourth Proportional to 50,783.56, 76,224.60 and 24,506.80

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Solution

The fourth proportional to 50,783.56, 76,224.60 and 24,506.80 is: 36,783.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,783.56 : 76,224.60 = 24,506.80 : x
  2. Step 2: Convert to fraction form
    50,783.56/76,224.60 = 24,506.80/x
  3. Step 3: Cross multiply
    50,783.56x = 76,224.60 × 24,506.80
  4. Step 4: Simplify right side
    50,783.56x = 1,868,021,027.28
  5. Step 5: Solve for x
    x = 1,868,021,027.28/50,783.56
  6. Step 6: Final answer
    x = 36,783.97

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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.