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Finding the Fourth Proportional to 53,796, 74,238.48 and 30,244

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Solution

The fourth proportional to 53,796, 74,238.48 and 30,244 is: 41,736.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,796 : 74,238.48 = 30,244 : x
  2. Step 2: Convert to fraction form
    53,796/74,238.48 = 30,244/x
  3. Step 3: Cross multiply
    53,796x = 74,238.48 × 30,244
  4. Step 4: Simplify right side
    53,796x = 2,245,268,589.12
  5. Step 5: Solve for x
    x = 2,245,268,589.12/53,796
  6. Step 6: Final answer
    x = 41,736.72

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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.