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Finding the Fourth Proportional to 54,842.64, 75,682.26 and 30,967.92

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Solution

The fourth proportional to 54,842.64, 75,682.26 and 30,967.92 is: 42,735.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,842.64 : 75,682.26 = 30,967.92 : x
  2. Step 2: Convert to fraction form
    54,842.64/75,682.26 = 30,967.92/x
  3. Step 3: Cross multiply
    54,842.64x = 75,682.26 × 30,967.92
  4. Step 4: Simplify right side
    54,842.64x = 2,343,722,173.10
  5. Step 5: Solve for x
    x = 2,343,722,173.10/54,842.64
  6. Step 6: Final answer
    x = 42,735.40

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