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Finding the Fourth Proportional to 53,968, 80,952 and 17,032

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Solution

The fourth proportional to 53,968, 80,952 and 17,032 is: 25,548

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,968 : 80,952 = 17,032 : x
  2. Step 2: Convert to fraction form
    53,968/80,952 = 17,032/x
  3. Step 3: Cross multiply
    53,968x = 80,952 × 17,032
  4. Step 4: Simplify right side
    53,968x = 1,378,774,464
  5. Step 5: Solve for x
    x = 1,378,774,464/53,968
  6. Step 6: Final answer
    x = 25,548

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