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Finding the Fourth Proportional to 54,954.10, 75,836.82 and 31,082.32

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Solution

The fourth proportional to 54,954.10, 75,836.82 and 31,082.32 is: 42,893.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,954.10 : 75,836.82 = 31,082.32 : x
  2. Step 2: Convert to fraction form
    54,954.10/75,836.82 = 31,082.32/x
  3. Step 3: Cross multiply
    54,954.10x = 75,836.82 × 31,082.32
  4. Step 4: Simplify right side
    54,954.10x = 2,357,184,307.02
  5. Step 5: Solve for x
    x = 2,357,184,307.02/54,954.10
  6. Step 6: Final answer
    x = 42,893.69

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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.