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Finding the Fourth Proportional to 53,952, 80,942.40 and 17,016

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Solution

The fourth proportional to 53,952, 80,942.40 and 17,016 is: 25,528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,952 : 80,942.40 = 17,016 : x
  2. Step 2: Convert to fraction form
    53,952/80,942.40 = 17,016/x
  3. Step 3: Cross multiply
    53,952x = 80,942.40 × 17,016
  4. Step 4: Simplify right side
    53,952x = 1,377,315,878.40
  5. Step 5: Solve for x
    x = 1,377,315,878.40/53,952
  6. Step 6: Final answer
    x = 25,528.54

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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.