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Finding the Fourth Proportional to 127,883.89, 191,826.47 and 33,107.42

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Solution

The fourth proportional to 127,883.89, 191,826.47 and 33,107.42 is: 49,661.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,883.89 : 191,826.47 = 33,107.42 : x
  2. Step 2: Convert to fraction form
    127,883.89/191,826.47 = 33,107.42/x
  3. Step 3: Cross multiply
    127,883.89x = 191,826.47 × 33,107.42
  4. Step 4: Simplify right side
    127,883.89x = 6,350,879,673.95
  5. Step 5: Solve for x
    x = 6,350,879,673.95/127,883.89
  6. Step 6: Final answer
    x = 49,661.30

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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.