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Finding the Fourth Proportional to 49,536, 74,304 and 16,704

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Solution

The fourth proportional to 49,536, 74,304 and 16,704 is: 25,056

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,536 : 74,304 = 16,704 : x
  2. Step 2: Convert to fraction form
    49,536/74,304 = 16,704/x
  3. Step 3: Cross multiply
    49,536x = 74,304 × 16,704
  4. Step 4: Simplify right side
    49,536x = 1,241,174,016
  5. Step 5: Solve for x
    x = 1,241,174,016/49,536
  6. Step 6: Final answer
    x = 25,056

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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.