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Finding the Fourth Proportional to 100,522.92, 150,787.71 and 50,575.68

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Solution

The fourth proportional to 100,522.92, 150,787.71 and 50,575.68 is: 75,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,522.92 : 150,787.71 = 50,575.68 : x
  2. Step 2: Convert to fraction form
    100,522.92/150,787.71 = 50,575.68/x
  3. Step 3: Cross multiply
    100,522.92x = 150,787.71 × 50,575.68
  4. Step 4: Simplify right side
    100,522.92x = 7,626,190,968.89
  5. Step 5: Solve for x
    x = 7,626,190,968.89/100,522.92
  6. Step 6: Final answer
    x = 75,865.20

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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.