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Finding the Fourth Proportional to 122,713.24, 184,070.12 and 33,967

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Solution

The fourth proportional to 122,713.24, 184,070.12 and 33,967 is: 50,950.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,713.24 : 184,070.12 = 33,967 : x
  2. Step 2: Convert to fraction form
    122,713.24/184,070.12 = 33,967/x
  3. Step 3: Cross multiply
    122,713.24x = 184,070.12 × 33,967
  4. Step 4: Simplify right side
    122,713.24x = 6,252,309,766.04
  5. Step 5: Solve for x
    x = 6,252,309,766.04/122,713.24
  6. Step 6: Final answer
    x = 50,950.57

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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.