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Finding the Fourth Proportional to 47,659.38, 71,489.06 and 16,494.63

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Solution

The fourth proportional to 47,659.38, 71,489.06 and 16,494.63 is: 24,741.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,659.38 : 71,489.06 = 16,494.63 : x
  2. Step 2: Convert to fraction form
    47,659.38/71,489.06 = 16,494.63/x
  3. Step 3: Cross multiply
    47,659.38x = 71,489.06 × 16,494.63
  4. Step 4: Simplify right side
    47,659.38x = 1,179,185,593.75
  5. Step 5: Solve for x
    x = 1,179,185,593.75/47,659.38
  6. Step 6: Final answer
    x = 24,741.94

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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.