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Finding the Fourth Proportional to 47,493.96, 71,199.01 and 17,891.09

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Solution

The fourth proportional to 47,493.96, 71,199.01 and 17,891.09 is: 26,820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,493.96 : 71,199.01 = 17,891.09 : x
  2. Step 2: Convert to fraction form
    47,493.96/71,199.01 = 17,891.09/x
  3. Step 3: Cross multiply
    47,493.96x = 71,199.01 × 17,891.09
  4. Step 4: Simplify right side
    47,493.96x = 1,273,827,895.82
  5. Step 5: Solve for x
    x = 1,273,827,895.82/47,493.96
  6. Step 6: Final answer
    x = 26,820.84

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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.