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Finding the Fourth Proportional to 49,968, 74,952 and 25,344

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Solution

The fourth proportional to 49,968, 74,952 and 25,344 is: 38,016

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,968 : 74,952 = 25,344 : x
  2. Step 2: Convert to fraction form
    49,968/74,952 = 25,344/x
  3. Step 3: Cross multiply
    49,968x = 74,952 × 25,344
  4. Step 4: Simplify right side
    49,968x = 1,899,583,488
  5. Step 5: Solve for x
    x = 1,899,583,488/49,968
  6. Step 6: Final answer
    x = 38,016

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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.