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Finding the Fourth Proportional to 34,150.23, 51,231.22 and 10,457.19

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Solution

The fourth proportional to 34,150.23, 51,231.22 and 10,457.19 is: 15,687.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,150.23 : 51,231.22 = 10,457.19 : x
  2. Step 2: Convert to fraction form
    34,150.23/51,231.22 = 10,457.19/x
  3. Step 3: Cross multiply
    34,150.23x = 51,231.22 × 10,457.19
  4. Step 4: Simplify right side
    34,150.23x = 535,734,575.33
  5. Step 5: Solve for x
    x = 535,734,575.33/34,150.23
  6. Step 6: Final answer
    x = 15,687.58

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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.