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Finding the Fourth Proportional to 122,568.55, 183,830.94 and 32,611.78

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Solution

The fourth proportional to 122,568.55, 183,830.94 and 32,611.78 is: 48,911.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,568.55 : 183,830.94 = 32,611.78 : x
  2. Step 2: Convert to fraction form
    122,568.55/183,830.94 = 32,611.78/x
  3. Step 3: Cross multiply
    122,568.55x = 183,830.94 × 32,611.78
  4. Step 4: Simplify right side
    122,568.55x = 5,995,054,172.47
  5. Step 5: Solve for x
    x = 5,995,054,172.47/122,568.55
  6. Step 6: Final answer
    x = 48,911.85

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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.