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Finding the Fourth Proportional to 72,284.40, 108,394.20 and 32,821.20

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Solution

The fourth proportional to 72,284.40, 108,394.20 and 32,821.20 is: 49,217.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,284.40 : 108,394.20 = 32,821.20 : x
  2. Step 2: Convert to fraction form
    72,284.40/108,394.20 = 32,821.20/x
  3. Step 3: Cross multiply
    72,284.40x = 108,394.20 × 32,821.20
  4. Step 4: Simplify right side
    72,284.40x = 3,557,627,717.04
  5. Step 5: Solve for x
    x = 3,557,627,717.04/72,284.40
  6. Step 6: Final answer
    x = 49,217.09

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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.