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Finding the Fourth Proportional to 47,796.42, 65,967.32 and 27,664.41

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Solution

The fourth proportional to 47,796.42, 65,967.32 and 27,664.41 is: 38,181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,796.42 : 65,967.32 = 27,664.41 : x
  2. Step 2: Convert to fraction form
    47,796.42/65,967.32 = 27,664.41/x
  3. Step 3: Cross multiply
    47,796.42x = 65,967.32 × 27,664.41
  4. Step 4: Simplify right side
    47,796.42x = 1,824,946,808.86
  5. Step 5: Solve for x
    x = 1,824,946,808.86/47,796.42
  6. Step 6: Final answer
    x = 38,181.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.