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Finding the Fourth Proportional to 49,099, 67,756.62 and 26,743

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Solution

The fourth proportional to 49,099, 67,756.62 and 26,743 is: 36,905.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,099 : 67,756.62 = 26,743 : x
  2. Step 2: Convert to fraction form
    49,099/67,756.62 = 26,743/x
  3. Step 3: Cross multiply
    49,099x = 67,756.62 × 26,743
  4. Step 4: Simplify right side
    49,099x = 1,812,015,288.66
  5. Step 5: Solve for x
    x = 1,812,015,288.66/49,099
  6. Step 6: Final answer
    x = 36,905.34

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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.