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Finding the Fourth Proportional to 122,030.82, 183,027.42 and 33,291.54

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Solution

The fourth proportional to 122,030.82, 183,027.42 and 33,291.54 is: 49,932.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,030.82 : 183,027.42 = 33,291.54 : x
  2. Step 2: Convert to fraction form
    122,030.82/183,027.42 = 33,291.54/x
  3. Step 3: Cross multiply
    122,030.82x = 183,027.42 × 33,291.54
  4. Step 4: Simplify right side
    122,030.82x = 6,093,264,674.03
  5. Step 5: Solve for x
    x = 6,093,264,674.03/122,030.82
  6. Step 6: Final answer
    x = 49,932.18

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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.