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Finding the Fourth Proportional to 52,954.83, 73,078.17 and 29,082

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Solution

The fourth proportional to 52,954.83, 73,078.17 and 29,082 is: 40,133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,954.83 : 73,078.17 = 29,082 : x
  2. Step 2: Convert to fraction form
    52,954.83/73,078.17 = 29,082/x
  3. Step 3: Cross multiply
    52,954.83x = 73,078.17 × 29,082
  4. Step 4: Simplify right side
    52,954.83x = 2,125,259,339.94
  5. Step 5: Solve for x
    x = 2,125,259,339.94/52,954.83
  6. Step 6: Final answer
    x = 40,133.44

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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.