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Finding the Fourth Proportional to 57,175.74, 85,792.86 and 27,223.84

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Solution

The fourth proportional to 57,175.74, 85,792.86 and 27,223.84 is: 40,849.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,175.74 : 85,792.86 = 27,223.84 : x
  2. Step 2: Convert to fraction form
    57,175.74/85,792.86 = 27,223.84/x
  3. Step 3: Cross multiply
    57,175.74x = 85,792.86 × 27,223.84
  4. Step 4: Simplify right side
    57,175.74x = 2,335,611,093.78
  5. Step 5: Solve for x
    x = 2,335,611,093.78/57,175.74
  6. Step 6: Final answer
    x = 40,849.69

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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.