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Finding the Fourth Proportional to 33,766.50, 46,567.44 and 28,119.90

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Solution

The fourth proportional to 33,766.50, 46,567.44 and 28,119.90 is: 38,780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,766.50 : 46,567.44 = 28,119.90 : x
  2. Step 2: Convert to fraction form
    33,766.50/46,567.44 = 28,119.90/x
  3. Step 3: Cross multiply
    33,766.50x = 46,567.44 × 28,119.90
  4. Step 4: Simplify right side
    33,766.50x = 1,309,471,756.06
  5. Step 5: Solve for x
    x = 1,309,471,756.06/33,766.50
  6. Step 6: Final answer
    x = 38,780.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.