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Finding the Fourth Proportional to 64,132, 96,199.44 and 22,012

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Solution

The fourth proportional to 64,132, 96,199.44 and 22,012 is: 33,018.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,132 : 96,199.44 = 22,012 : x
  2. Step 2: Convert to fraction form
    64,132/96,199.44 = 22,012/x
  3. Step 3: Cross multiply
    64,132x = 96,199.44 × 22,012
  4. Step 4: Simplify right side
    64,132x = 2,117,542,073.28
  5. Step 5: Solve for x
    x = 2,117,542,073.28/64,132
  6. Step 6: Final answer
    x = 33,018.49

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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.