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Finding the Fourth Proportional to 57,169.53, 78,914.67 and 46,540.71

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Solution

The fourth proportional to 57,169.53, 78,914.67 and 46,540.71 is: 64,243.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,169.53 : 78,914.67 = 46,540.71 : x
  2. Step 2: Convert to fraction form
    57,169.53/78,914.67 = 46,540.71/x
  3. Step 3: Cross multiply
    57,169.53x = 78,914.67 × 46,540.71
  4. Step 4: Simplify right side
    57,169.53x = 3,672,744,771.22
  5. Step 5: Solve for x
    x = 3,672,744,771.22/57,169.53
  6. Step 6: Final answer
    x = 64,243.05

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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.