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Finding the Fourth Proportional to 122,380.96, 183,538.02 and 33,613.36

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Solution

The fourth proportional to 122,380.96, 183,538.02 and 33,613.36 is: 50,410.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,380.96 : 183,538.02 = 33,613.36 : x
  2. Step 2: Convert to fraction form
    122,380.96/183,538.02 = 33,613.36/x
  3. Step 3: Cross multiply
    122,380.96x = 183,538.02 × 33,613.36
  4. Step 4: Simplify right side
    122,380.96x = 6,169,329,539.95
  5. Step 5: Solve for x
    x = 6,169,329,539.95/122,380.96
  6. Step 6: Final answer
    x = 50,410.86

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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.