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Finding the Fourth Proportional to 67,266.38, 92,830.06 and 41,786.81

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Solution

The fourth proportional to 67,266.38, 92,830.06 and 41,786.81 is: 57,667.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,266.38 : 92,830.06 = 41,786.81 : x
  2. Step 2: Convert to fraction form
    67,266.38/92,830.06 = 41,786.81/x
  3. Step 3: Cross multiply
    67,266.38x = 92,830.06 × 41,786.81
  4. Step 4: Simplify right side
    67,266.38x = 3,879,072,079.51
  5. Step 5: Solve for x
    x = 3,879,072,079.51/67,266.38
  6. Step 6: Final answer
    x = 57,667.32

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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.