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Finding the Fourth Proportional to 34,020.71, 51,031.77 and 12,381.44

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Solution

The fourth proportional to 34,020.71, 51,031.77 and 12,381.44 is: 18,572.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,020.71 : 51,031.77 = 12,381.44 : x
  2. Step 2: Convert to fraction form
    34,020.71/51,031.77 = 12,381.44/x
  3. Step 3: Cross multiply
    34,020.71x = 51,031.77 × 12,381.44
  4. Step 4: Simplify right side
    34,020.71x = 631,846,481.28
  5. Step 5: Solve for x
    x = 631,846,481.28/34,020.71
  6. Step 6: Final answer
    x = 18,572.41

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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.