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Finding the Fourth Proportional to 51,736.48, 71,395.92 and 29,380

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Solution

The fourth proportional to 51,736.48, 71,395.92 and 29,380 is: 40,544.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,736.48 : 71,395.92 = 29,380 : x
  2. Step 2: Convert to fraction form
    51,736.48/71,395.92 = 29,380/x
  3. Step 3: Cross multiply
    51,736.48x = 71,395.92 × 29,380
  4. Step 4: Simplify right side
    51,736.48x = 2,097,612,129.60
  5. Step 5: Solve for x
    x = 2,097,612,129.60/51,736.48
  6. Step 6: Final answer
    x = 40,544.16

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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.