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Finding the Fourth Proportional to 34,402.14, 47,491.68 and 21,673.80

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Solution

The fourth proportional to 34,402.14, 47,491.68 and 21,673.80 is: 29,920.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,402.14 : 47,491.68 = 21,673.80 : x
  2. Step 2: Convert to fraction form
    34,402.14/47,491.68 = 21,673.80/x
  3. Step 3: Cross multiply
    34,402.14x = 47,491.68 × 21,673.80
  4. Step 4: Simplify right side
    34,402.14x = 1,029,325,173.98
  5. Step 5: Solve for x
    x = 1,029,325,173.98/34,402.14
  6. Step 6: Final answer
    x = 29,920.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.