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Finding the Fourth Proportional to 29,131.75, 43,697.63 and 7,243.75

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Solution

The fourth proportional to 29,131.75, 43,697.63 and 7,243.75 is: 10,865.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,131.75 : 43,697.63 = 7,243.75 : x
  2. Step 2: Convert to fraction form
    29,131.75/43,697.63 = 7,243.75/x
  3. Step 3: Cross multiply
    29,131.75x = 43,697.63 × 7,243.75
  4. Step 4: Simplify right side
    29,131.75x = 316,534,707.31
  5. Step 5: Solve for x
    x = 316,534,707.31/29,131.75
  6. Step 6: Final answer
    x = 10,865.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.