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Finding the Fourth Proportional to 49,189, 67,881.06 and 26,834.44

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Solution

The fourth proportional to 49,189, 67,881.06 and 26,834.44 is: 37,031.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,189 : 67,881.06 = 26,834.44 : x
  2. Step 2: Convert to fraction form
    49,189/67,881.06 = 26,834.44/x
  3. Step 3: Cross multiply
    49,189x = 67,881.06 × 26,834.44
  4. Step 4: Simplify right side
    49,189x = 1,821,550,231.71
  5. Step 5: Solve for x
    x = 1,821,550,231.71/49,189
  6. Step 6: Final answer
    x = 37,031.66

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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.