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Finding the Fourth Proportional to 41,589.46, 57,348.06 and 28,137.40

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Solution

The fourth proportional to 41,589.46, 57,348.06 and 28,137.40 is: 38,798.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,589.46 : 57,348.06 = 28,137.40 : x
  2. Step 2: Convert to fraction form
    41,589.46/57,348.06 = 28,137.40/x
  3. Step 3: Cross multiply
    41,589.46x = 57,348.06 × 28,137.40
  4. Step 4: Simplify right side
    41,589.46x = 1,613,625,303.44
  5. Step 5: Solve for x
    x = 1,613,625,303.44/41,589.46
  6. Step 6: Final answer
    x = 38,798.90

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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.