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Finding the Fourth Proportional to 47,768.56, 71,673 and 25,576

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Solution

The fourth proportional to 47,768.56, 71,673 and 25,576 is: 38,374.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,768.56 : 71,673 = 25,576 : x
  2. Step 2: Convert to fraction form
    47,768.56/71,673 = 25,576/x
  3. Step 3: Cross multiply
    47,768.56x = 71,673 × 25,576
  4. Step 4: Simplify right side
    47,768.56x = 1,833,108,648
  5. Step 5: Solve for x
    x = 1,833,108,648/47,768.56
  6. Step 6: Final answer
    x = 38,374.79

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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.