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Finding the Fourth Proportional to 49,044, 67,680.72 and 29,172

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Solution

The fourth proportional to 49,044, 67,680.72 and 29,172 is: 40,257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,044 : 67,680.72 = 29,172 : x
  2. Step 2: Convert to fraction form
    49,044/67,680.72 = 29,172/x
  3. Step 3: Cross multiply
    49,044x = 67,680.72 × 29,172
  4. Step 4: Simplify right side
    49,044x = 1,974,381,963.84
  5. Step 5: Solve for x
    x = 1,974,381,963.84/49,044
  6. Step 6: Final answer
    x = 40,257.36

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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.