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Finding the Fourth Proportional to 64,119.36, 96,174.49 and 19,741.49

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Solution

The fourth proportional to 64,119.36, 96,174.49 and 19,741.49 is: 29,610.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,119.36 : 96,174.49 = 19,741.49 : x
  2. Step 2: Convert to fraction form
    64,119.36/96,174.49 = 19,741.49/x
  3. Step 3: Cross multiply
    64,119.36x = 96,174.49 × 19,741.49
  4. Step 4: Simplify right side
    64,119.36x = 1,898,627,600.03
  5. Step 5: Solve for x
    x = 1,898,627,600.03/64,119.36
  6. Step 6: Final answer
    x = 29,610.83

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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.