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Finding the Fourth Proportional to 47,986.80, 71,947.80 and 25,501.20

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Solution

The fourth proportional to 47,986.80, 71,947.80 and 25,501.20 is: 38,234.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,986.80 : 71,947.80 = 25,501.20 : x
  2. Step 2: Convert to fraction form
    47,986.80/71,947.80 = 25,501.20/x
  3. Step 3: Cross multiply
    47,986.80x = 71,947.80 × 25,501.20
  4. Step 4: Simplify right side
    47,986.80x = 1,834,755,237.36
  5. Step 5: Solve for x
    x = 1,834,755,237.36/47,986.80
  6. Step 6: Final answer
    x = 38,234.58

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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.