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Finding the Fourth Proportional to 48,431.84, 66,836.57 and 29,311.38

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Solution

The fourth proportional to 48,431.84, 66,836.57 and 29,311.38 is: 40,450.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,431.84 : 66,836.57 = 29,311.38 : x
  2. Step 2: Convert to fraction form
    48,431.84/66,836.57 = 29,311.38/x
  3. Step 3: Cross multiply
    48,431.84x = 66,836.57 × 29,311.38
  4. Step 4: Simplify right side
    48,431.84x = 1,959,071,954.61
  5. Step 5: Solve for x
    x = 1,959,071,954.61/48,431.84
  6. Step 6: Final answer
    x = 40,450.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.