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Finding the Fourth Proportional to 52,306.92, 72,178.16 and 31,082.09

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Solution

The fourth proportional to 52,306.92, 72,178.16 and 31,082.09 is: 42,890.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,306.92 : 72,178.16 = 31,082.09 : x
  2. Step 2: Convert to fraction form
    52,306.92/72,178.16 = 31,082.09/x
  3. Step 3: Cross multiply
    52,306.92x = 72,178.16 × 31,082.09
  4. Step 4: Simplify right side
    52,306.92x = 2,243,447,548.85
  5. Step 5: Solve for x
    x = 2,243,447,548.85/52,306.92
  6. Step 6: Final answer
    x = 42,890.07

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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.