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Finding the Fourth Proportional to 34,517.04, 51,769.80 and 9,559.62

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Solution

The fourth proportional to 34,517.04, 51,769.80 and 9,559.62 is: 14,337.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,517.04 : 51,769.80 = 9,559.62 : x
  2. Step 2: Convert to fraction form
    34,517.04/51,769.80 = 9,559.62/x
  3. Step 3: Cross multiply
    34,517.04x = 51,769.80 × 9,559.62
  4. Step 4: Simplify right side
    34,517.04x = 494,899,615.48
  5. Step 5: Solve for x
    x = 494,899,615.48/34,517.04
  6. Step 6: Final answer
    x = 14,337.83

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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.