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Finding the Fourth Proportional to 34,012.71, 51,022.85 and 9,053.71

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Solution

The fourth proportional to 34,012.71, 51,022.85 and 9,053.71 is: 13,581.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,012.71 : 51,022.85 = 9,053.71 : x
  2. Step 2: Convert to fraction form
    34,012.71/51,022.85 = 9,053.71/x
  3. Step 3: Cross multiply
    34,012.71x = 51,022.85 × 9,053.71
  4. Step 4: Simplify right side
    34,012.71x = 461,945,914.45
  5. Step 5: Solve for x
    x = 461,945,914.45/34,012.71
  6. Step 6: Final answer
    x = 13,581.57

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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.