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Finding the Fourth Proportional to 49,892.18, 74,836.17 and 23,229

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Solution

The fourth proportional to 49,892.18, 74,836.17 and 23,229 is: 34,842.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,892.18 : 74,836.17 = 23,229 : x
  2. Step 2: Convert to fraction form
    49,892.18/74,836.17 = 23,229/x
  3. Step 3: Cross multiply
    49,892.18x = 74,836.17 × 23,229
  4. Step 4: Simplify right side
    49,892.18x = 1,738,369,392.93
  5. Step 5: Solve for x
    x = 1,738,369,392.93/49,892.18
  6. Step 6: Final answer
    x = 34,842.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.