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Finding the Fourth Proportional to 32,141.44, 48,224.83 and 9,956.54

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Solution

The fourth proportional to 32,141.44, 48,224.83 and 9,956.54 is: 14,938.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,141.44 : 48,224.83 = 9,956.54 : x
  2. Step 2: Convert to fraction form
    32,141.44/48,224.83 = 9,956.54/x
  3. Step 3: Cross multiply
    32,141.44x = 48,224.83 × 9,956.54
  4. Step 4: Simplify right side
    32,141.44x = 480,152,157.98
  5. Step 5: Solve for x
    x = 480,152,157.98/32,141.44
  6. Step 6: Final answer
    x = 14,938.73

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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.