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Finding the Fourth Proportional to 73,168.36, 109,750.05 and 31,021.31

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Solution

The fourth proportional to 73,168.36, 109,750.05 and 31,021.31 is: 46,530.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,168.36 : 109,750.05 = 31,021.31 : x
  2. Step 2: Convert to fraction form
    73,168.36/109,750.05 = 31,021.31/x
  3. Step 3: Cross multiply
    73,168.36x = 109,750.05 × 31,021.31
  4. Step 4: Simplify right side
    73,168.36x = 3,404,590,323.57
  5. Step 5: Solve for x
    x = 3,404,590,323.57/73,168.36
  6. Step 6: Final answer
    x = 46,530.91

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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.