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Finding the Fourth Proportional to 51,755.40, 71,430 and 29,096.26

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Solution

The fourth proportional to 51,755.40, 71,430 and 29,096.26 is: 40,157.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,755.40 : 71,430 = 29,096.26 : x
  2. Step 2: Convert to fraction form
    51,755.40/71,430 = 29,096.26/x
  3. Step 3: Cross multiply
    51,755.40x = 71,430 × 29,096.26
  4. Step 4: Simplify right side
    51,755.40x = 2,078,345,851.80
  5. Step 5: Solve for x
    x = 2,078,345,851.80/51,755.40
  6. Step 6: Final answer
    x = 40,157.08

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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.