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Finding the Fourth Proportional to 64,233, 96,388.38 and 27,297

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Solution

The fourth proportional to 64,233, 96,388.38 and 27,297 is: 40,962.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,233 : 96,388.38 = 27,297 : x
  2. Step 2: Convert to fraction form
    64,233/96,388.38 = 27,297/x
  3. Step 3: Cross multiply
    64,233x = 96,388.38 × 27,297
  4. Step 4: Simplify right side
    64,233x = 2,631,113,608.86
  5. Step 5: Solve for x
    x = 2,631,113,608.86/64,233
  6. Step 6: Final answer
    x = 40,962.02

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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.