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Finding the Fourth Proportional to 48,732.25, 73,098.51 and 11,796.25

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Solution

The fourth proportional to 48,732.25, 73,098.51 and 11,796.25 is: 17,694.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,732.25 : 73,098.51 = 11,796.25 : x
  2. Step 2: Convert to fraction form
    48,732.25/73,098.51 = 11,796.25/x
  3. Step 3: Cross multiply
    48,732.25x = 73,098.51 × 11,796.25
  4. Step 4: Simplify right side
    48,732.25x = 862,288,298.59
  5. Step 5: Solve for x
    x = 862,288,298.59/48,732.25
  6. Step 6: Final answer
    x = 17,694.41

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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.