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Finding the Fourth Proportional to 127,094, 190,641 and 33,599.76

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Solution

The fourth proportional to 127,094, 190,641 and 33,599.76 is: 50,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,094 : 190,641 = 33,599.76 : x
  2. Step 2: Convert to fraction form
    127,094/190,641 = 33,599.76/x
  3. Step 3: Cross multiply
    127,094x = 190,641 × 33,599.76
  4. Step 4: Simplify right side
    127,094x = 6,405,491,846.16
  5. Step 5: Solve for x
    x = 6,405,491,846.16/127,094
  6. Step 6: Final answer
    x = 50,399.64

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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.