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Finding the Fourth Proportional to 122,584.59, 183,863.12 and 33,850.71

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Solution

The fourth proportional to 122,584.59, 183,863.12 and 33,850.71 is: 50,772.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,584.59 : 183,863.12 = 33,850.71 : x
  2. Step 2: Convert to fraction form
    122,584.59/183,863.12 = 33,850.71/x
  3. Step 3: Cross multiply
    122,584.59x = 183,863.12 × 33,850.71
  4. Step 4: Simplify right side
    122,584.59x = 6,223,896,985.56
  5. Step 5: Solve for x
    x = 6,223,896,985.56/122,584.59
  6. Step 6: Final answer
    x = 50,772.26

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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.