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Finding the Fourth Proportional to 49,138.68, 67,811.22 and 26,782.68

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Solution

The fourth proportional to 49,138.68, 67,811.22 and 26,782.68 is: 36,960.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,138.68 : 67,811.22 = 26,782.68 : x
  2. Step 2: Convert to fraction form
    49,138.68/67,811.22 = 26,782.68/x
  3. Step 3: Cross multiply
    49,138.68x = 67,811.22 × 26,782.68
  4. Step 4: Simplify right side
    49,138.68x = 1,816,166,205.67
  5. Step 5: Solve for x
    x = 1,816,166,205.67/49,138.68
  6. Step 6: Final answer
    x = 36,960.01

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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.