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Finding the Fourth Proportional to 26,450, 36,501 and 15,272

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Solution

The fourth proportional to 26,450, 36,501 and 15,272 is: 21,075.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,450 : 36,501 = 15,272 : x
  2. Step 2: Convert to fraction form
    26,450/36,501 = 15,272/x
  3. Step 3: Cross multiply
    26,450x = 36,501 × 15,272
  4. Step 4: Simplify right side
    26,450x = 557,443,272
  5. Step 5: Solve for x
    x = 557,443,272/26,450
  6. Step 6: Final answer
    x = 21,075.36

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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.