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Finding the Fourth Proportional to 38,578.42, 53,236.37 and 24,245.68

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Solution

The fourth proportional to 38,578.42, 53,236.37 and 24,245.68 is: 33,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,578.42 : 53,236.37 = 24,245.68 : x
  2. Step 2: Convert to fraction form
    38,578.42/53,236.37 = 24,245.68/x
  3. Step 3: Cross multiply
    38,578.42x = 53,236.37 × 24,245.68
  4. Step 4: Simplify right side
    38,578.42x = 1,290,751,603.97
  5. Step 5: Solve for x
    x = 1,290,751,603.97/38,578.42
  6. Step 6: Final answer
    x = 33,457.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.