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Finding the Fourth Proportional to 64,809, 97,174.62 and 22,665.96

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Solution

The fourth proportional to 64,809, 97,174.62 and 22,665.96 is: 33,985.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,809 : 97,174.62 = 22,665.96 : x
  2. Step 2: Convert to fraction form
    64,809/97,174.62 = 22,665.96/x
  3. Step 3: Cross multiply
    64,809x = 97,174.62 × 22,665.96
  4. Step 4: Simplify right side
    64,809x = 2,202,556,049.94
  5. Step 5: Solve for x
    x = 2,202,556,049.94/64,809
  6. Step 6: Final answer
    x = 33,985.34

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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.