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Finding the Fourth Proportional to 106,321.67, 159,453.34 and 39,739.67

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Solution

The fourth proportional to 106,321.67, 159,453.34 and 39,739.67 is: 59,598.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,321.67 : 159,453.34 = 39,739.67 : x
  2. Step 2: Convert to fraction form
    106,321.67/159,453.34 = 39,739.67/x
  3. Step 3: Cross multiply
    106,321.67x = 159,453.34 × 39,739.67
  4. Step 4: Simplify right side
    106,321.67x = 6,336,623,112.00
  5. Step 5: Solve for x
    x = 6,336,623,112.00/106,321.67
  6. Step 6: Final answer
    x = 59,598.60

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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.