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Finding the Fourth Proportional to 49,188, 67,879.68 and 26,833.44

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Solution

The fourth proportional to 49,188, 67,879.68 and 26,833.44 is: 37,030.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,188 : 67,879.68 = 26,833.44 : x
  2. Step 2: Convert to fraction form
    49,188/67,879.68 = 26,833.44/x
  3. Step 3: Cross multiply
    49,188x = 67,879.68 × 26,833.44
  4. Step 4: Simplify right side
    49,188x = 1,821,445,320.50
  5. Step 5: Solve for x
    x = 1,821,445,320.50/49,188
  6. Step 6: Final answer
    x = 37,030.28

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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.