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Finding the Fourth Proportional to 122,594.28, 183,843.44 and 47,704.52

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Solution

The fourth proportional to 122,594.28, 183,843.44 and 47,704.52 is: 71,538.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,594.28 : 183,843.44 = 47,704.52 : x
  2. Step 2: Convert to fraction form
    122,594.28/183,843.44 = 47,704.52/x
  3. Step 3: Cross multiply
    122,594.28x = 183,843.44 × 47,704.52
  4. Step 4: Simplify right side
    122,594.28x = 8,770,163,060.35
  5. Step 5: Solve for x
    x = 8,770,163,060.35/122,594.28
  6. Step 6: Final answer
    x = 71,538.11

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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.