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Finding the Fourth Proportional to 54,731.82, 75,530.02 and 29,581.32

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Solution

The fourth proportional to 54,731.82, 75,530.02 and 29,581.32 is: 40,822.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,731.82 : 75,530.02 = 29,581.32 : x
  2. Step 2: Convert to fraction form
    54,731.82/75,530.02 = 29,581.32/x
  3. Step 3: Cross multiply
    54,731.82x = 75,530.02 × 29,581.32
  4. Step 4: Simplify right side
    54,731.82x = 2,234,277,691.23
  5. Step 5: Solve for x
    x = 2,234,277,691.23/54,731.82
  6. Step 6: Final answer
    x = 40,822.28

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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.