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Finding the Fourth Proportional to 101,014.30, 151,509.30 and 41,843.80

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Solution

The fourth proportional to 101,014.30, 151,509.30 and 41,843.80 is: 62,760.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,014.30 : 151,509.30 = 41,843.80 : x
  2. Step 2: Convert to fraction form
    101,014.30/151,509.30 = 41,843.80/x
  3. Step 3: Cross multiply
    101,014.30x = 151,509.30 × 41,843.80
  4. Step 4: Simplify right side
    101,014.30x = 6,339,724,847.34
  5. Step 5: Solve for x
    x = 6,339,724,847.34/101,014.30
  6. Step 6: Final answer
    x = 62,760.67

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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.