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Finding the Fourth Proportional to 47,659.50, 71,494.11 and 16,494.66

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Solution

The fourth proportional to 47,659.50, 71,494.11 and 16,494.66 is: 24,743.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,659.50 : 71,494.11 = 16,494.66 : x
  2. Step 2: Convert to fraction form
    47,659.50/71,494.11 = 16,494.66/x
  3. Step 3: Cross multiply
    47,659.50x = 71,494.11 × 16,494.66
  4. Step 4: Simplify right side
    47,659.50x = 1,179,271,036.45
  5. Step 5: Solve for x
    x = 1,179,271,036.45/47,659.50
  6. Step 6: Final answer
    x = 24,743.67

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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.