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Finding the Fourth Proportional to 65,968.50, 98,943.18 and 21,597.01

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Solution

The fourth proportional to 65,968.50, 98,943.18 and 21,597.01 is: 32,392.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,968.50 : 98,943.18 = 21,597.01 : x
  2. Step 2: Convert to fraction form
    65,968.50/98,943.18 = 21,597.01/x
  3. Step 3: Cross multiply
    65,968.50x = 98,943.18 × 21,597.01
  4. Step 4: Simplify right side
    65,968.50x = 2,136,876,847.89
  5. Step 5: Solve for x
    x = 2,136,876,847.89/65,968.50
  6. Step 6: Final answer
    x = 32,392.38

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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.