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Finding the Fourth Proportional to 34,151.90, 51,228.99 and 11,980.71

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Solution

The fourth proportional to 34,151.90, 51,228.99 and 11,980.71 is: 17,971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,151.90 : 51,228.99 = 11,980.71 : x
  2. Step 2: Convert to fraction form
    34,151.90/51,228.99 = 11,980.71/x
  3. Step 3: Cross multiply
    34,151.90x = 51,228.99 × 11,980.71
  4. Step 4: Simplify right side
    34,151.90x = 613,759,672.78
  5. Step 5: Solve for x
    x = 613,759,672.78/34,151.90
  6. Step 6: Final answer
    x = 17,971.47

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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.