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Finding the Fourth Proportional to 122,028.82, 183,024.42 and 33,289.54

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Solution

The fourth proportional to 122,028.82, 183,024.42 and 33,289.54 is: 49,929.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,028.82 : 183,024.42 = 33,289.54 : x
  2. Step 2: Convert to fraction form
    122,028.82/183,024.42 = 33,289.54/x
  3. Step 3: Cross multiply
    122,028.82x = 183,024.42 × 33,289.54
  4. Step 4: Simplify right side
    122,028.82x = 6,092,798,750.57
  5. Step 5: Solve for x
    x = 6,092,798,750.57/122,028.82
  6. Step 6: Final answer
    x = 49,929.18

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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.