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Finding the Fourth Proportional to 54,410.96, 75,094.47 and 30,538.96

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Solution

The fourth proportional to 54,410.96, 75,094.47 and 30,538.96 is: 42,147.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,410.96 : 75,094.47 = 30,538.96 : x
  2. Step 2: Convert to fraction form
    54,410.96/75,094.47 = 30,538.96/x
  3. Step 3: Cross multiply
    54,410.96x = 75,094.47 × 30,538.96
  4. Step 4: Simplify right side
    54,410.96x = 2,293,306,640.08
  5. Step 5: Solve for x
    x = 2,293,306,640.08/54,410.96
  6. Step 6: Final answer
    x = 42,147.88

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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.