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Finding the Fourth Proportional to 49,192.74, 67,879.80 and 27,679.82

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Solution

The fourth proportional to 49,192.74, 67,879.80 and 27,679.82 is: 38,194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,192.74 : 67,879.80 = 27,679.82 : x
  2. Step 2: Convert to fraction form
    49,192.74/67,879.80 = 27,679.82/x
  3. Step 3: Cross multiply
    49,192.74x = 67,879.80 × 27,679.82
  4. Step 4: Simplify right side
    49,192.74x = 1,878,900,306.24
  5. Step 5: Solve for x
    x = 1,878,900,306.24/49,192.74
  6. Step 6: Final answer
    x = 38,194.67

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1.5x scale

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.