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Finding the Fourth Proportional to 54,233.76, 81,126 and 50,916

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Solution

The fourth proportional to 54,233.76, 81,126 and 50,916 is: 76,163.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,233.76 : 81,126 = 50,916 : x
  2. Step 2: Convert to fraction form
    54,233.76/81,126 = 50,916/x
  3. Step 3: Cross multiply
    54,233.76x = 81,126 × 50,916
  4. Step 4: Simplify right side
    54,233.76x = 4,130,611,416
  5. Step 5: Solve for x
    x = 4,130,611,416/54,233.76
  6. Step 6: Final answer
    x = 76,163.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.