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Finding the Fourth Proportional to 127,133.36, 190,709.16 and 33,638

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Solution

The fourth proportional to 127,133.36, 190,709.16 and 33,638 is: 50,459.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,133.36 : 190,709.16 = 33,638 : x
  2. Step 2: Convert to fraction form
    127,133.36/190,709.16 = 33,638/x
  3. Step 3: Cross multiply
    127,133.36x = 190,709.16 × 33,638
  4. Step 4: Simplify right side
    127,133.36x = 6,415,074,724.08
  5. Step 5: Solve for x
    x = 6,415,074,724.08/127,133.36
  6. Step 6: Final answer
    x = 50,459.41

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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.