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Finding the Fourth Proportional to 34,495.71, 51,706.73 and 19,672.71

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Solution

The fourth proportional to 34,495.71, 51,706.73 and 19,672.71 is: 29,488.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,495.71 : 51,706.73 = 19,672.71 : x
  2. Step 2: Convert to fraction form
    34,495.71/51,706.73 = 19,672.71/x
  3. Step 3: Cross multiply
    34,495.71x = 51,706.73 × 19,672.71
  4. Step 4: Simplify right side
    34,495.71x = 1,017,211,405.97
  5. Step 5: Solve for x
    x = 1,017,211,405.97/34,495.71
  6. Step 6: Final answer
    x = 29,488.06

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Why These Related Problems?

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