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Finding the Fourth Proportional to 47,857.50, 71,789.54 and 16,254.66

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Solution

The fourth proportional to 47,857.50, 71,789.54 and 16,254.66 is: 24,383.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,857.50 : 71,789.54 = 16,254.66 : x
  2. Step 2: Convert to fraction form
    47,857.50/71,789.54 = 16,254.66/x
  3. Step 3: Cross multiply
    47,857.50x = 71,789.54 × 16,254.66
  4. Step 4: Simplify right side
    47,857.50x = 1,166,914,564.26
  5. Step 5: Solve for x
    x = 1,166,914,564.26/47,857.50
  6. Step 6: Final answer
    x = 24,383.11

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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.