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Finding the Fourth Proportional to 34,564.40, 51,846.60 and 11,193.20

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Solution

The fourth proportional to 34,564.40, 51,846.60 and 11,193.20 is: 16,789.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,564.40 : 51,846.60 = 11,193.20 : x
  2. Step 2: Convert to fraction form
    34,564.40/51,846.60 = 11,193.20/x
  3. Step 3: Cross multiply
    34,564.40x = 51,846.60 × 11,193.20
  4. Step 4: Simplify right side
    34,564.40x = 580,329,363.12
  5. Step 5: Solve for x
    x = 580,329,363.12/34,564.40
  6. Step 6: Final answer
    x = 16,789.80

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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.