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Finding the Fourth Proportional to 127,135.36, 190,712.16 and 33,640

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Solution

The fourth proportional to 127,135.36, 190,712.16 and 33,640 is: 50,462.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,135.36 : 190,712.16 = 33,640 : x
  2. Step 2: Convert to fraction form
    127,135.36/190,712.16 = 33,640/x
  3. Step 3: Cross multiply
    127,135.36x = 190,712.16 × 33,640
  4. Step 4: Simplify right side
    127,135.36x = 6,415,557,062.40
  5. Step 5: Solve for x
    x = 6,415,557,062.40/127,135.36
  6. Step 6: Final answer
    x = 50,462.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.