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Finding the Fourth Proportional to 41,536, 62,304 and 12,352

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Solution

The fourth proportional to 41,536, 62,304 and 12,352 is: 18,528

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,536 : 62,304 = 12,352 : x
  2. Step 2: Convert to fraction form
    41,536/62,304 = 12,352/x
  3. Step 3: Cross multiply
    41,536x = 62,304 × 12,352
  4. Step 4: Simplify right side
    41,536x = 769,579,008
  5. Step 5: Solve for x
    x = 769,579,008/41,536
  6. Step 6: Final answer
    x = 18,528

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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.