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Finding the Fourth Proportional to 65,850.48, 98,735.71 and 25,821.50

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Solution

The fourth proportional to 65,850.48, 98,735.71 and 25,821.50 is: 38,716.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,850.48 : 98,735.71 = 25,821.50 : x
  2. Step 2: Convert to fraction form
    65,850.48/98,735.71 = 25,821.50/x
  3. Step 3: Cross multiply
    65,850.48x = 98,735.71 × 25,821.50
  4. Step 4: Simplify right side
    65,850.48x = 2,549,504,135.77
  5. Step 5: Solve for x
    x = 2,549,504,135.77/65,850.48
  6. Step 6: Final answer
    x = 38,716.56

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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.