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Finding the Fourth Proportional to 45,074, 62,205 and 25,202

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Solution

The fourth proportional to 45,074, 62,205 and 25,202 is: 34,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,074 : 62,205 = 25,202 : x
  2. Step 2: Convert to fraction form
    45,074/62,205 = 25,202/x
  3. Step 3: Cross multiply
    45,074x = 62,205 × 25,202
  4. Step 4: Simplify right side
    45,074x = 1,567,690,410
  5. Step 5: Solve for x
    x = 1,567,690,410/45,074
  6. Step 6: Final answer
    x = 34,780.37

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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.