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Finding the Fourth Proportional to 53,456.08, 80,223 and 23,907.28

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Solution

The fourth proportional to 53,456.08, 80,223 and 23,907.28 is: 35,878.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,456.08 : 80,223 = 23,907.28 : x
  2. Step 2: Convert to fraction form
    53,456.08/80,223 = 23,907.28/x
  3. Step 3: Cross multiply
    53,456.08x = 80,223 × 23,907.28
  4. Step 4: Simplify right side
    53,456.08x = 1,917,913,723.44
  5. Step 5: Solve for x
    x = 1,917,913,723.44/53,456.08
  6. Step 6: Final answer
    x = 35,878.31

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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.