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Finding the Fourth Proportional to 34,684.80, 52,027.33 and 8,389.50

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Solution

The fourth proportional to 34,684.80, 52,027.33 and 8,389.50 is: 12,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,684.80 : 52,027.33 = 8,389.50 : x
  2. Step 2: Convert to fraction form
    34,684.80/52,027.33 = 8,389.50/x
  3. Step 3: Cross multiply
    34,684.80x = 52,027.33 × 8,389.50
  4. Step 4: Simplify right side
    34,684.80x = 436,483,285.04
  5. Step 5: Solve for x
    x = 436,483,285.04/34,684.80
  6. Step 6: Final answer
    x = 12,584.28

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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.