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Finding the Fourth Proportional to 38,474.31, 53,116.63 and 29,327.86

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Solution

The fourth proportional to 38,474.31, 53,116.63 and 29,327.86 is: 40,489.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,474.31 : 53,116.63 = 29,327.86 : x
  2. Step 2: Convert to fraction form
    38,474.31/53,116.63 = 29,327.86/x
  3. Step 3: Cross multiply
    38,474.31x = 53,116.63 × 29,327.86
  4. Step 4: Simplify right side
    38,474.31x = 1,557,797,081.39
  5. Step 5: Solve for x
    x = 1,557,797,081.39/38,474.31
  6. Step 6: Final answer
    x = 40,489.28

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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.