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Finding the Fourth Proportional to 65,597.94, 98,403.93 and 18,213.23

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Solution

The fourth proportional to 65,597.94, 98,403.93 and 18,213.23 is: 27,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,597.94 : 98,403.93 = 18,213.23 : x
  2. Step 2: Convert to fraction form
    65,597.94/98,403.93 = 18,213.23/x
  3. Step 3: Cross multiply
    65,597.94x = 98,403.93 × 18,213.23
  4. Step 4: Simplify right side
    65,597.94x = 1,792,253,656.00
  5. Step 5: Solve for x
    x = 1,792,253,656.00/65,597.94
  6. Step 6: Final answer
    x = 27,321.80

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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.