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Finding the Fourth Proportional to 34,327.50, 51,491.57 and 13,551

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Solution

The fourth proportional to 34,327.50, 51,491.57 and 13,551 is: 20,326.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,327.50 : 51,491.57 = 13,551 : x
  2. Step 2: Convert to fraction form
    34,327.50/51,491.57 = 13,551/x
  3. Step 3: Cross multiply
    34,327.50x = 51,491.57 × 13,551
  4. Step 4: Simplify right side
    34,327.50x = 697,762,197.32
  5. Step 5: Solve for x
    x = 697,762,197.32/34,327.50
  6. Step 6: Final answer
    x = 20,326.62

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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.