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Finding the Fourth Proportional to 127,918.53, 191,879.01 and 49,014

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Solution

The fourth proportional to 127,918.53, 191,879.01 and 49,014 is: 73,521.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,918.53 : 191,879.01 = 49,014 : x
  2. Step 2: Convert to fraction form
    127,918.53/191,879.01 = 49,014/x
  3. Step 3: Cross multiply
    127,918.53x = 191,879.01 × 49,014
  4. Step 4: Simplify right side
    127,918.53x = 9,404,757,796.14
  5. Step 5: Solve for x
    x = 9,404,757,796.14/127,918.53
  6. Step 6: Final answer
    x = 73,521.47

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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.