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Finding the Fourth Proportional to 49,182, 67,873.44 and 26,826

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Solution

The fourth proportional to 49,182, 67,873.44 and 26,826 is: 37,021.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,182 : 67,873.44 = 26,826 : x
  2. Step 2: Convert to fraction form
    49,182/67,873.44 = 26,826/x
  3. Step 3: Cross multiply
    49,182x = 67,873.44 × 26,826
  4. Step 4: Simplify right side
    49,182x = 1,820,772,901.44
  5. Step 5: Solve for x
    x = 1,820,772,901.44/49,182
  6. Step 6: Final answer
    x = 37,021.12

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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.