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Finding the Fourth Proportional to 34,267.50, 51,408.81 and 14,562.90

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Solution

The fourth proportional to 34,267.50, 51,408.81 and 14,562.90 is: 21,847.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,267.50 : 51,408.81 = 14,562.90 : x
  2. Step 2: Convert to fraction form
    34,267.50/51,408.81 = 14,562.90/x
  3. Step 3: Cross multiply
    34,267.50x = 51,408.81 × 14,562.90
  4. Step 4: Simplify right side
    34,267.50x = 748,661,359.15
  5. Step 5: Solve for x
    x = 748,661,359.15/34,267.50
  6. Step 6: Final answer
    x = 21,847.56

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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.