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Finding the Fourth Proportional to 53,489.44, 80,234.16 and 25,768

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Solution

The fourth proportional to 53,489.44, 80,234.16 and 25,768 is: 38,652

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,489.44 : 80,234.16 = 25,768 : x
  2. Step 2: Convert to fraction form
    53,489.44/80,234.16 = 25,768/x
  3. Step 3: Cross multiply
    53,489.44x = 80,234.16 × 25,768
  4. Step 4: Simplify right side
    53,489.44x = 2,067,473,834.88
  5. Step 5: Solve for x
    x = 2,067,473,834.88/53,489.44
  6. Step 6: Final answer
    x = 38,652

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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.