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Finding the Fourth Proportional to 127,096.50, 190,644.75 and 33,602.25

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Solution

The fourth proportional to 127,096.50, 190,644.75 and 33,602.25 is: 50,403.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,096.50 : 190,644.75 = 33,602.25 : x
  2. Step 2: Convert to fraction form
    127,096.50/190,644.75 = 33,602.25/x
  3. Step 3: Cross multiply
    127,096.50x = 190,644.75 × 33,602.25
  4. Step 4: Simplify right side
    127,096.50x = 6,406,092,550.69
  5. Step 5: Solve for x
    x = 6,406,092,550.69/127,096.50
  6. Step 6: Final answer
    x = 50,403.38

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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.