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Finding the Fourth Proportional to 74,304, 111,456 and 25,056

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Solution

The fourth proportional to 74,304, 111,456 and 25,056 is: 37,584

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,304 : 111,456 = 25,056 : x
  2. Step 2: Convert to fraction form
    74,304/111,456 = 25,056/x
  3. Step 3: Cross multiply
    74,304x = 111,456 × 25,056
  4. Step 4: Simplify right side
    74,304x = 2,792,641,536
  5. Step 5: Solve for x
    x = 2,792,641,536/74,304
  6. Step 6: Final answer
    x = 37,584

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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.