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Finding the Fourth Proportional to 65,409.50, 98,149.69 and 50,647.25

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Solution

The fourth proportional to 65,409.50, 98,149.69 and 50,647.25 is: 75,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,409.50 : 98,149.69 = 50,647.25 : x
  2. Step 2: Convert to fraction form
    65,409.50/98,149.69 = 50,647.25/x
  3. Step 3: Cross multiply
    65,409.50x = 98,149.69 × 50,647.25
  4. Step 4: Simplify right side
    65,409.50x = 4,971,011,886.85
  5. Step 5: Solve for x
    x = 4,971,011,886.85/65,409.50
  6. Step 6: Final answer
    x = 75,998.32

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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.