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Finding the Fourth Proportional to 122,005.83, 183,003.35 and 33,259.34

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Solution

The fourth proportional to 122,005.83, 183,003.35 and 33,259.34 is: 49,887.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,005.83 : 183,003.35 = 33,259.34 : x
  2. Step 2: Convert to fraction form
    122,005.83/183,003.35 = 33,259.34/x
  3. Step 3: Cross multiply
    122,005.83x = 183,003.35 × 33,259.34
  4. Step 4: Simplify right side
    122,005.83x = 6,086,569,723.77
  5. Step 5: Solve for x
    x = 6,086,569,723.77/122,005.83
  6. Step 6: Final answer
    x = 49,887.53

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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.