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Finding the Fourth Proportional to 49,121, 67,786.98 and 26,765

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Solution

The fourth proportional to 49,121, 67,786.98 and 26,765 is: 36,935.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,121 : 67,786.98 = 26,765 : x
  2. Step 2: Convert to fraction form
    49,121/67,786.98 = 26,765/x
  3. Step 3: Cross multiply
    49,121x = 67,786.98 × 26,765
  4. Step 4: Simplify right side
    49,121x = 1,814,318,519.70
  5. Step 5: Solve for x
    x = 1,814,318,519.70/49,121
  6. Step 6: Final answer
    x = 36,935.70

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