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Finding the Fourth Proportional to 27,200.40, 40,849.20 and 19,813.20

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Solution

The fourth proportional to 27,200.40, 40,849.20 and 19,813.20 is: 29,755.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,200.40 : 40,849.20 = 19,813.20 : x
  2. Step 2: Convert to fraction form
    27,200.40/40,849.20 = 19,813.20/x
  3. Step 3: Cross multiply
    27,200.40x = 40,849.20 × 19,813.20
  4. Step 4: Simplify right side
    27,200.40x = 809,353,369.44
  5. Step 5: Solve for x
    x = 809,353,369.44/27,200.40
  6. Step 6: Final answer
    x = 29,755.20

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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.