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Finding the Fourth Proportional to 122,714.74, 184,072.37 and 33,968.50

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Solution

The fourth proportional to 122,714.74, 184,072.37 and 33,968.50 is: 50,952.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,714.74 : 184,072.37 = 33,968.50 : x
  2. Step 2: Convert to fraction form
    122,714.74/184,072.37 = 33,968.50/x
  3. Step 3: Cross multiply
    122,714.74x = 184,072.37 × 33,968.50
  4. Step 4: Simplify right side
    122,714.74x = 6,252,662,300.35
  5. Step 5: Solve for x
    x = 6,252,662,300.35/122,714.74
  6. Step 6: Final answer
    x = 50,952.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.