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Finding the Fourth Proportional to 48,221.30, 66,546.96 and 27,000.38

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Solution

The fourth proportional to 48,221.30, 66,546.96 and 27,000.38 is: 37,261.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,221.30 : 66,546.96 = 27,000.38 : x
  2. Step 2: Convert to fraction form
    48,221.30/66,546.96 = 27,000.38/x
  3. Step 3: Cross multiply
    48,221.30x = 66,546.96 × 27,000.38
  4. Step 4: Simplify right side
    48,221.30x = 1,796,793,207.84
  5. Step 5: Solve for x
    x = 1,796,793,207.84/48,221.30
  6. Step 6: Final answer
    x = 37,261.40

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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.