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Finding the Fourth Proportional to 45,296, 62,511.68 and 25,424

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Solution

The fourth proportional to 45,296, 62,511.68 and 25,424 is: 35,086.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,296 : 62,511.68 = 25,424 : x
  2. Step 2: Convert to fraction form
    45,296/62,511.68 = 25,424/x
  3. Step 3: Cross multiply
    45,296x = 62,511.68 × 25,424
  4. Step 4: Simplify right side
    45,296x = 1,589,296,952.32
  5. Step 5: Solve for x
    x = 1,589,296,952.32/45,296
  6. Step 6: Final answer
    x = 35,086.92

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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.