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Finding the Fourth Proportional to 37,618, 51,913.14 and 20,851

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Solution

The fourth proportional to 37,618, 51,913.14 and 20,851 is: 28,774.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,618 : 51,913.14 = 20,851 : x
  2. Step 2: Convert to fraction form
    37,618/51,913.14 = 20,851/x
  3. Step 3: Cross multiply
    37,618x = 51,913.14 × 20,851
  4. Step 4: Simplify right side
    37,618x = 1,082,440,882.14
  5. Step 5: Solve for x
    x = 1,082,440,882.14/37,618
  6. Step 6: Final answer
    x = 28,774.55

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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.