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Finding the Fourth Proportional to 54,706.84, 82,231.56 and 36,106.42

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Solution

The fourth proportional to 54,706.84, 82,231.56 and 36,106.42 is: 54,272.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,706.84 : 82,231.56 = 36,106.42 : x
  2. Step 2: Convert to fraction form
    54,706.84/82,231.56 = 36,106.42/x
  3. Step 3: Cross multiply
    54,706.84x = 82,231.56 × 36,106.42
  4. Step 4: Simplify right side
    54,706.84x = 2,969,087,242.62
  5. Step 5: Solve for x
    x = 2,969,087,242.62/54,706.84
  6. Step 6: Final answer
    x = 54,272.69

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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.