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Finding the Fourth Proportional to 54,882, 82,217.80 and 32,628

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Solution

The fourth proportional to 54,882, 82,217.80 and 32,628 is: 48,879.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,882 : 82,217.80 = 32,628 : x
  2. Step 2: Convert to fraction form
    54,882/82,217.80 = 32,628/x
  3. Step 3: Cross multiply
    54,882x = 82,217.80 × 32,628
  4. Step 4: Simplify right side
    54,882x = 2,682,602,378.40
  5. Step 5: Solve for x
    x = 2,682,602,378.40/54,882
  6. Step 6: Final answer
    x = 48,879.46

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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.