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Finding the Fourth Proportional to 51,802.26, 71,487.09 and 29,446.26

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Solution

The fourth proportional to 51,802.26, 71,487.09 and 29,446.26 is: 40,635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,802.26 : 71,487.09 = 29,446.26 : x
  2. Step 2: Convert to fraction form
    51,802.26/71,487.09 = 29,446.26/x
  3. Step 3: Cross multiply
    51,802.26x = 71,487.09 × 29,446.26
  4. Step 4: Simplify right side
    51,802.26x = 2,105,027,438.78
  5. Step 5: Solve for x
    x = 2,105,027,438.78/51,802.26
  6. Step 6: Final answer
    x = 40,635.82

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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.