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Finding the Fourth Proportional to 53,978.14, 80,976.93 and 25,874.38

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Solution

The fourth proportional to 53,978.14, 80,976.93 and 25,874.38 is: 38,816.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,978.14 : 80,976.93 = 25,874.38 : x
  2. Step 2: Convert to fraction form
    53,978.14/80,976.93 = 25,874.38/x
  3. Step 3: Cross multiply
    53,978.14x = 80,976.93 × 25,874.38
  4. Step 4: Simplify right side
    53,978.14x = 2,095,227,858.05
  5. Step 5: Solve for x
    x = 2,095,227,858.05/53,978.14
  6. Step 6: Final answer
    x = 38,816.23

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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.