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Finding the Fourth Proportional to 50,622.84, 75,949.02 and 21,035.16

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Solution

The fourth proportional to 50,622.84, 75,949.02 and 21,035.16 is: 31,558.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,622.84 : 75,949.02 = 21,035.16 : x
  2. Step 2: Convert to fraction form
    50,622.84/75,949.02 = 21,035.16/x
  3. Step 3: Cross multiply
    50,622.84x = 75,949.02 × 21,035.16
  4. Step 4: Simplify right side
    50,622.84x = 1,597,599,787.54
  5. Step 5: Solve for x
    x = 1,597,599,787.54/50,622.84
  6. Step 6: Final answer
    x = 31,558.87

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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.