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Finding the Fourth Proportional to 53,825.49, 80,738.28 and 25,738.92

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Solution

The fourth proportional to 53,825.49, 80,738.28 and 25,738.92 is: 38,608.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,825.49 : 80,738.28 = 25,738.92 : x
  2. Step 2: Convert to fraction form
    53,825.49/80,738.28 = 25,738.92/x
  3. Step 3: Cross multiply
    53,825.49x = 80,738.28 × 25,738.92
  4. Step 4: Simplify right side
    53,825.49x = 2,078,116,129.86
  5. Step 5: Solve for x
    x = 2,078,116,129.86/53,825.49
  6. Step 6: Final answer
    x = 38,608.40

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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.