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Finding the Fourth Proportional to 49,201.22, 67,891.41 and 27,980.93

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Solution

The fourth proportional to 49,201.22, 67,891.41 and 27,980.93 is: 38,610.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,201.22 : 67,891.41 = 27,980.93 : x
  2. Step 2: Convert to fraction form
    49,201.22/67,891.41 = 27,980.93/x
  3. Step 3: Cross multiply
    49,201.22x = 67,891.41 × 27,980.93
  4. Step 4: Simplify right side
    49,201.22x = 1,899,664,790.81
  5. Step 5: Solve for x
    x = 1,899,664,790.81/49,201.22
  6. Step 6: Final answer
    x = 38,610.12

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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.