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Finding the Fourth Proportional to 47,704.25, 71,589.18 and 16,539.50

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Solution

The fourth proportional to 47,704.25, 71,589.18 and 16,539.50 is: 24,820.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,704.25 : 71,589.18 = 16,539.50 : x
  2. Step 2: Convert to fraction form
    47,704.25/71,589.18 = 16,539.50/x
  3. Step 3: Cross multiply
    47,704.25x = 71,589.18 × 16,539.50
  4. Step 4: Simplify right side
    47,704.25x = 1,184,049,242.61
  5. Step 5: Solve for x
    x = 1,184,049,242.61/47,704.25
  6. Step 6: Final answer
    x = 24,820.62

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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.