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Finding the Fourth Proportional to 75,175.74, 112,793.13 and 30,823.74

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Solution

The fourth proportional to 75,175.74, 112,793.13 and 30,823.74 is: 46,247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,175.74 : 112,793.13 = 30,823.74 : x
  2. Step 2: Convert to fraction form
    75,175.74/112,793.13 = 30,823.74/x
  3. Step 3: Cross multiply
    75,175.74x = 112,793.13 × 30,823.74
  4. Step 4: Simplify right side
    75,175.74x = 3,476,706,112.91
  5. Step 5: Solve for x
    x = 3,476,706,112.91/75,175.74
  6. Step 6: Final answer
    x = 46,247.71

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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.