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Finding the Fourth Proportional to 34,215.33, 51,328.50 and 14,494.06

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Solution

The fourth proportional to 34,215.33, 51,328.50 and 14,494.06 is: 21,743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,215.33 : 51,328.50 = 14,494.06 : x
  2. Step 2: Convert to fraction form
    34,215.33/51,328.50 = 14,494.06/x
  3. Step 3: Cross multiply
    34,215.33x = 51,328.50 × 14,494.06
  4. Step 4: Simplify right side
    34,215.33x = 743,958,358.71
  5. Step 5: Solve for x
    x = 743,958,358.71/34,215.33
  6. Step 6: Final answer
    x = 21,743.42

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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.