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Finding the Fourth Proportional to 41,907, 57,818.70 and 27,767.64

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Solution

The fourth proportional to 41,907, 57,818.70 and 27,767.64 is: 38,310.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,907 : 57,818.70 = 27,767.64 : x
  2. Step 2: Convert to fraction form
    41,907/57,818.70 = 27,767.64/x
  3. Step 3: Cross multiply
    41,907x = 57,818.70 × 27,767.64
  4. Step 4: Simplify right side
    41,907x = 1,605,488,846.87
  5. Step 5: Solve for x
    x = 1,605,488,846.87/41,907
  6. Step 6: Final answer
    x = 38,310.76

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1.5x scale

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.