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Finding the Fourth Proportional to 35,075, 48,404.94 and 20,171

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Solution

The fourth proportional to 35,075, 48,404.94 and 20,171 is: 27,836.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,075 : 48,404.94 = 20,171 : x
  2. Step 2: Convert to fraction form
    35,075/48,404.94 = 20,171/x
  3. Step 3: Cross multiply
    35,075x = 48,404.94 × 20,171
  4. Step 4: Simplify right side
    35,075x = 976,376,044.74
  5. Step 5: Solve for x
    x = 976,376,044.74/35,075
  6. Step 6: Final answer
    x = 27,836.81

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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.