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Finding the Fourth Proportional to 64,138, 96,208.44 and 22,018

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Solution

The fourth proportional to 64,138, 96,208.44 and 22,018 is: 33,027.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,138 : 96,208.44 = 22,018 : x
  2. Step 2: Convert to fraction form
    64,138/96,208.44 = 22,018/x
  3. Step 3: Cross multiply
    64,138x = 96,208.44 × 22,018
  4. Step 4: Simplify right side
    64,138x = 2,118,317,431.92
  5. Step 5: Solve for x
    x = 2,118,317,431.92/64,138
  6. Step 6: Final answer
    x = 33,027.49

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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.