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Finding the Fourth Proportional to 48,812.24, 73,223.04 and 13,274

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Solution

The fourth proportional to 48,812.24, 73,223.04 and 13,274 is: 19,912.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,812.24 : 73,223.04 = 13,274 : x
  2. Step 2: Convert to fraction form
    48,812.24/73,223.04 = 13,274/x
  3. Step 3: Cross multiply
    48,812.24x = 73,223.04 × 13,274
  4. Step 4: Simplify right side
    48,812.24x = 971,962,632.96
  5. Step 5: Solve for x
    x = 971,962,632.96/48,812.24
  6. Step 6: Final answer
    x = 19,912.27

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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.