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Finding the Fourth Proportional to 36,604, 54,926.76 and 16,882.57

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Solution

The fourth proportional to 36,604, 54,926.76 and 16,882.57 is: 25,333.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,604 : 54,926.76 = 16,882.57 : x
  2. Step 2: Convert to fraction form
    36,604/54,926.76 = 16,882.57/x
  3. Step 3: Cross multiply
    36,604x = 54,926.76 × 16,882.57
  4. Step 4: Simplify right side
    36,604x = 927,304,870.57
  5. Step 5: Solve for x
    x = 927,304,870.57/36,604
  6. Step 6: Final answer
    x = 25,333.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.