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Finding the Fourth Proportional to 38,540.54, 53,194.53 and 23,430

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Solution

The fourth proportional to 38,540.54, 53,194.53 and 23,430 is: 32,338.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,540.54 : 53,194.53 = 23,430 : x
  2. Step 2: Convert to fraction form
    38,540.54/53,194.53 = 23,430/x
  3. Step 3: Cross multiply
    38,540.54x = 53,194.53 × 23,430
  4. Step 4: Simplify right side
    38,540.54x = 1,246,347,837.90
  5. Step 5: Solve for x
    x = 1,246,347,837.90/38,540.54
  6. Step 6: Final answer
    x = 32,338.62

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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.