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Finding the Fourth Proportional to 52,249.32, 78,383.70 and 17,213.52

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Solution

The fourth proportional to 52,249.32, 78,383.70 and 17,213.52 is: 25,823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,249.32 : 78,383.70 = 17,213.52 : x
  2. Step 2: Convert to fraction form
    52,249.32/78,383.70 = 17,213.52/x
  3. Step 3: Cross multiply
    52,249.32x = 78,383.70 × 17,213.52
  4. Step 4: Simplify right side
    52,249.32x = 1,349,259,387.62
  5. Step 5: Solve for x
    x = 1,349,259,387.62/52,249.32
  6. Step 6: Final answer
    x = 25,823.48

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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.