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Finding the Fourth Proportional to 39,523.50, 59,311.02 and 14,563.80

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Solution

The fourth proportional to 39,523.50, 59,311.02 and 14,563.80 is: 21,855.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,523.50 : 59,311.02 = 14,563.80 : x
  2. Step 2: Convert to fraction form
    39,523.50/59,311.02 = 14,563.80/x
  3. Step 3: Cross multiply
    39,523.50x = 59,311.02 × 14,563.80
  4. Step 4: Simplify right side
    39,523.50x = 863,793,833.08
  5. Step 5: Solve for x
    x = 863,793,833.08/39,523.50
  6. Step 6: Final answer
    x = 21,855.20

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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.