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Finding the Fourth Proportional to 184,072.36, 276,108.93 and 50,953

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Solution

The fourth proportional to 184,072.36, 276,108.93 and 50,953 is: 76,429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,072.36 : 276,108.93 = 50,953 : x
  2. Step 2: Convert to fraction form
    184,072.36/276,108.93 = 50,953/x
  3. Step 3: Cross multiply
    184,072.36x = 276,108.93 × 50,953
  4. Step 4: Simplify right side
    184,072.36x = 14,068,578,310.29
  5. Step 5: Solve for x
    x = 14,068,578,310.29/184,072.36
  6. Step 6: Final answer
    x = 76,429.61

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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.