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Finding the Fourth Proportional to 47,895.75, 71,876.63 and 16,731

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Solution

The fourth proportional to 47,895.75, 71,876.63 and 16,731 is: 25,108.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,895.75 : 71,876.63 = 16,731 : x
  2. Step 2: Convert to fraction form
    47,895.75/71,876.63 = 16,731/x
  3. Step 3: Cross multiply
    47,895.75x = 71,876.63 × 16,731
  4. Step 4: Simplify right side
    47,895.75x = 1,202,567,938.36
  5. Step 5: Solve for x
    x = 1,202,567,938.36/47,895.75
  6. Step 6: Final answer
    x = 25,108.03

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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.