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Finding the Fourth Proportional to 41,716, 57,568.62 and 22,853.80

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Solution

The fourth proportional to 41,716, 57,568.62 and 22,853.80 is: 31,538.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,716 : 57,568.62 = 22,853.80 : x
  2. Step 2: Convert to fraction form
    41,716/57,568.62 = 22,853.80/x
  3. Step 3: Cross multiply
    41,716x = 57,568.62 × 22,853.80
  4. Step 4: Simplify right side
    41,716x = 1,315,661,727.76
  5. Step 5: Solve for x
    x = 1,315,661,727.76/41,716
  6. Step 6: Final answer
    x = 31,538.54

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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.