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Finding the Fourth Proportional to 49,057, 67,698.66 and 26,701

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Solution

The fourth proportional to 49,057, 67,698.66 and 26,701 is: 36,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,057 : 67,698.66 = 26,701 : x
  2. Step 2: Convert to fraction form
    49,057/67,698.66 = 26,701/x
  3. Step 3: Cross multiply
    49,057x = 67,698.66 × 26,701
  4. Step 4: Simplify right side
    49,057x = 1,807,621,920.66
  5. Step 5: Solve for x
    x = 1,807,621,920.66/49,057
  6. Step 6: Final answer
    x = 36,847.38

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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.