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Finding the Fourth Proportional to 64,242.25, 96,373.64 and 22,111.97

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Solution

The fourth proportional to 64,242.25, 96,373.64 and 22,111.97 is: 33,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,242.25 : 96,373.64 = 22,111.97 : x
  2. Step 2: Convert to fraction form
    64,242.25/96,373.64 = 22,111.97/x
  3. Step 3: Cross multiply
    64,242.25x = 96,373.64 × 22,111.97
  4. Step 4: Simplify right side
    64,242.25x = 2,131,010,609.88
  5. Step 5: Solve for x
    x = 2,131,010,609.88/64,242.25
  6. Step 6: Final answer
    x = 33,171.48

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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.