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Finding the Fourth Proportional to 47,782.62, 71,644.77 and 19,693.98

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Solution

The fourth proportional to 47,782.62, 71,644.77 and 19,693.98 is: 29,528.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,782.62 : 71,644.77 = 19,693.98 : x
  2. Step 2: Convert to fraction form
    47,782.62/71,644.77 = 19,693.98/x
  3. Step 3: Cross multiply
    47,782.62x = 71,644.77 × 19,693.98
  4. Step 4: Simplify right side
    47,782.62x = 1,410,970,667.48
  5. Step 5: Solve for x
    x = 1,410,970,667.48/47,782.62
  6. Step 6: Final answer
    x = 29,528.95

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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.