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Finding the Fourth Proportional to 48,832.16, 67,383.84 and 27,611.36

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Solution

The fourth proportional to 48,832.16, 67,383.84 and 27,611.36 is: 38,101.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,832.16 : 67,383.84 = 27,611.36 : x
  2. Step 2: Convert to fraction form
    48,832.16/67,383.84 = 27,611.36/x
  3. Step 3: Cross multiply
    48,832.16x = 67,383.84 × 27,611.36
  4. Step 4: Simplify right side
    48,832.16x = 1,860,559,464.42
  5. Step 5: Solve for x
    x = 1,860,559,464.42/48,832.16
  6. Step 6: Final answer
    x = 38,101.11

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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.