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Finding the Fourth Proportional to 27,199.98, 40,947.12 and 19,462.86

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Solution

The fourth proportional to 27,199.98, 40,947.12 and 19,462.86 is: 29,299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,199.98 : 40,947.12 = 19,462.86 : x
  2. Step 2: Convert to fraction form
    27,199.98/40,947.12 = 19,462.86/x
  3. Step 3: Cross multiply
    27,199.98x = 40,947.12 × 19,462.86
  4. Step 4: Simplify right side
    27,199.98x = 796,948,063.96
  5. Step 5: Solve for x
    x = 796,948,063.96/27,199.98
  6. Step 6: Final answer
    x = 29,299.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.