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Finding the Fourth Proportional to 65,722.50, 98,591.92 and 25,736.32

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Solution

The fourth proportional to 65,722.50, 98,591.92 and 25,736.32 is: 38,607.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,722.50 : 98,591.92 = 25,736.32 : x
  2. Step 2: Convert to fraction form
    65,722.50/98,591.92 = 25,736.32/x
  3. Step 3: Cross multiply
    65,722.50x = 98,591.92 × 25,736.32
  4. Step 4: Simplify right side
    65,722.50x = 2,537,393,202.53
  5. Step 5: Solve for x
    x = 2,537,393,202.53/65,722.50
  6. Step 6: Final answer
    x = 38,607.68

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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.