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Finding the Fourth Proportional to 49,041, 67,677.66 and 26,685

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Solution

The fourth proportional to 49,041, 67,677.66 and 26,685 is: 36,825.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,041 : 67,677.66 = 26,685 : x
  2. Step 2: Convert to fraction form
    49,041/67,677.66 = 26,685/x
  3. Step 3: Cross multiply
    49,041x = 67,677.66 × 26,685
  4. Step 4: Simplify right side
    49,041x = 1,805,978,357.10
  5. Step 5: Solve for x
    x = 1,805,978,357.10/49,041
  6. Step 6: Final answer
    x = 36,825.89

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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.