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Finding the Fourth Proportional to 47,984, 71,996.84 and 25,771.52

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Solution

The fourth proportional to 47,984, 71,996.84 and 25,771.52 is: 38,668.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,984 : 71,996.84 = 25,771.52 : x
  2. Step 2: Convert to fraction form
    47,984/71,996.84 = 25,771.52/x
  3. Step 3: Cross multiply
    47,984x = 71,996.84 × 25,771.52
  4. Step 4: Simplify right side
    47,984x = 1,855,468,002.00
  5. Step 5: Solve for x
    x = 1,855,468,002.00/47,984
  6. Step 6: Final answer
    x = 38,668.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.