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Finding the Fourth Proportional to 50,494.92, 69,683.46 and 27,834.78

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Solution

The fourth proportional to 50,494.92, 69,683.46 and 27,834.78 is: 38,412.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,494.92 : 69,683.46 = 27,834.78 : x
  2. Step 2: Convert to fraction form
    50,494.92/69,683.46 = 27,834.78/x
  3. Step 3: Cross multiply
    50,494.92x = 69,683.46 × 27,834.78
  4. Step 4: Simplify right side
    50,494.92x = 1,939,623,778.74
  5. Step 5: Solve for x
    x = 1,939,623,778.74/50,494.92
  6. Step 6: Final answer
    x = 38,412.26

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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.