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Finding the Fourth Proportional to 54,274.89, 81,407.73 and 16,834.16

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Solution

The fourth proportional to 54,274.89, 81,407.73 and 16,834.16 is: 25,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,274.89 : 81,407.73 = 16,834.16 : x
  2. Step 2: Convert to fraction form
    54,274.89/81,407.73 = 16,834.16/x
  3. Step 3: Cross multiply
    54,274.89x = 81,407.73 × 16,834.16
  4. Step 4: Simplify right side
    54,274.89x = 1,370,431,018.70
  5. Step 5: Solve for x
    x = 1,370,431,018.70/54,274.89
  6. Step 6: Final answer
    x = 25,249.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.