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Finding the Fourth Proportional to 64,291.69, 96,378.47 and 22,161.77

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Solution

The fourth proportional to 64,291.69, 96,378.47 and 22,161.77 is: 33,222.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,291.69 : 96,378.47 = 22,161.77 : x
  2. Step 2: Convert to fraction form
    64,291.69/96,378.47 = 22,161.77/x
  3. Step 3: Cross multiply
    64,291.69x = 96,378.47 × 22,161.77
  4. Step 4: Simplify right side
    64,291.69x = 2,135,917,485.09
  5. Step 5: Solve for x
    x = 2,135,917,485.09/64,291.69
  6. Step 6: Final answer
    x = 33,222.29

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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.