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Finding the Fourth Proportional to 122,416.64, 183,591.36 and 33,649.28

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Solution

The fourth proportional to 122,416.64, 183,591.36 and 33,649.28 is: 50,464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,416.64 : 183,591.36 = 33,649.28 : x
  2. Step 2: Convert to fraction form
    122,416.64/183,591.36 = 33,649.28/x
  3. Step 3: Cross multiply
    122,416.64x = 183,591.36 × 33,649.28
  4. Step 4: Simplify right side
    122,416.64x = 6,177,717,078.22
  5. Step 5: Solve for x
    x = 6,177,717,078.22/122,416.64
  6. Step 6: Final answer
    x = 50,464.68

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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.