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Finding the Fourth Proportional to 27,902.70, 41,854.40 and 8,181.65

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Solution

The fourth proportional to 27,902.70, 41,854.40 and 8,181.65 is: 12,272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,902.70 : 41,854.40 = 8,181.65 : x
  2. Step 2: Convert to fraction form
    27,902.70/41,854.40 = 8,181.65/x
  3. Step 3: Cross multiply
    27,902.70x = 41,854.40 × 8,181.65
  4. Step 4: Simplify right side
    27,902.70x = 342,438,051.76
  5. Step 5: Solve for x
    x = 342,438,051.76/27,902.70
  6. Step 6: Final answer
    x = 12,272.58

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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.