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Finding the Fourth Proportional to 38,185.49, 52,697.64 and 25,418.12

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Solution

The fourth proportional to 38,185.49, 52,697.64 and 25,418.12 is: 35,078.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,185.49 : 52,697.64 = 25,418.12 : x
  2. Step 2: Convert to fraction form
    38,185.49/52,697.64 = 25,418.12/x
  3. Step 3: Cross multiply
    38,185.49x = 52,697.64 × 25,418.12
  4. Step 4: Simplify right side
    38,185.49x = 1,339,474,922.51
  5. Step 5: Solve for x
    x = 1,339,474,922.51/38,185.49
  6. Step 6: Final answer
    x = 35,078.11

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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.