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Finding the Fourth Proportional to 122,886.50, 184,339.98 and 32,942.03

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Solution

The fourth proportional to 122,886.50, 184,339.98 and 32,942.03 is: 49,415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,886.50 : 184,339.98 = 32,942.03 : x
  2. Step 2: Convert to fraction form
    122,886.50/184,339.98 = 32,942.03/x
  3. Step 3: Cross multiply
    122,886.50x = 184,339.98 × 32,942.03
  4. Step 4: Simplify right side
    122,886.50x = 6,072,532,229.66
  5. Step 5: Solve for x
    x = 6,072,532,229.66/122,886.50
  6. Step 6: Final answer
    x = 49,415.78

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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.