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Finding the Fourth Proportional to 36,205.80, 54,308.70 and 30,738.30

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Solution

The fourth proportional to 36,205.80, 54,308.70 and 30,738.30 is: 46,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,205.80 : 54,308.70 = 30,738.30 : x
  2. Step 2: Convert to fraction form
    36,205.80/54,308.70 = 30,738.30/x
  3. Step 3: Cross multiply
    36,205.80x = 54,308.70 × 30,738.30
  4. Step 4: Simplify right side
    36,205.80x = 1,669,357,113.21
  5. Step 5: Solve for x
    x = 1,669,357,113.21/36,205.80
  6. Step 6: Final answer
    x = 46,107.45

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