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Finding the Fourth Proportional to 29,977.94, 41,375.22 and 18,652.52

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Solution

The fourth proportional to 29,977.94, 41,375.22 and 18,652.52 is: 25,744.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,977.94 : 41,375.22 = 18,652.52 : x
  2. Step 2: Convert to fraction form
    29,977.94/41,375.22 = 18,652.52/x
  3. Step 3: Cross multiply
    29,977.94x = 41,375.22 × 18,652.52
  4. Step 4: Simplify right side
    29,977.94x = 771,752,118.55
  5. Step 5: Solve for x
    x = 771,752,118.55/29,977.94
  6. Step 6: Final answer
    x = 25,744.00

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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.