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Finding the Fourth Proportional to 64,144.98, 96,192.87 and 22,017.21

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Solution

The fourth proportional to 64,144.98, 96,192.87 and 22,017.21 is: 33,017.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,144.98 : 96,192.87 = 22,017.21 : x
  2. Step 2: Convert to fraction form
    64,144.98/96,192.87 = 22,017.21/x
  3. Step 3: Cross multiply
    64,144.98x = 96,192.87 × 22,017.21
  4. Step 4: Simplify right side
    64,144.98x = 2,117,898,619.29
  5. Step 5: Solve for x
    x = 2,117,898,619.29/64,144.98
  6. Step 6: Final answer
    x = 33,017.37

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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.