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Finding the Fourth Proportional to 49,000, 67,620 and 26,644

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Solution

The fourth proportional to 49,000, 67,620 and 26,644 is: 36,768.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,000 : 67,620 = 26,644 : x
  2. Step 2: Convert to fraction form
    49,000/67,620 = 26,644/x
  3. Step 3: Cross multiply
    49,000x = 67,620 × 26,644
  4. Step 4: Simplify right side
    49,000x = 1,801,667,280
  5. Step 5: Solve for x
    x = 1,801,667,280/49,000
  6. Step 6: Final answer
    x = 36,768.72

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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.