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Finding the Fourth Proportional to 106,076.92, 159,102.42 and 43,739.32

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Solution

The fourth proportional to 106,076.92, 159,102.42 and 43,739.32 is: 65,603.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,076.92 : 159,102.42 = 43,739.32 : x
  2. Step 2: Convert to fraction form
    106,076.92/159,102.42 = 43,739.32/x
  3. Step 3: Cross multiply
    106,076.92x = 159,102.42 × 43,739.32
  4. Step 4: Simplify right side
    106,076.92x = 6,959,031,661.15
  5. Step 5: Solve for x
    x = 6,959,031,661.15/106,076.92
  6. Step 6: Final answer
    x = 65,603.64

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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.