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Finding the Fourth Proportional to 27,741.52, 41,604.04 and 8,020.24

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Solution

The fourth proportional to 27,741.52, 41,604.04 and 8,020.24 is: 12,027.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,741.52 : 41,604.04 = 8,020.24 : x
  2. Step 2: Convert to fraction form
    27,741.52/41,604.04 = 8,020.24/x
  3. Step 3: Cross multiply
    27,741.52x = 41,604.04 × 8,020.24
  4. Step 4: Simplify right side
    27,741.52x = 333,674,385.77
  5. Step 5: Solve for x
    x = 333,674,385.77/27,741.52
  6. Step 6: Final answer
    x = 12,027.98

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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.