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Finding the Fourth Proportional to 48,732, 73,098.36 and 11,796

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Solution

The fourth proportional to 48,732, 73,098.36 and 11,796 is: 17,694.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,732 : 73,098.36 = 11,796 : x
  2. Step 2: Convert to fraction form
    48,732/73,098.36 = 11,796/x
  3. Step 3: Cross multiply
    48,732x = 73,098.36 × 11,796
  4. Step 4: Simplify right side
    48,732x = 862,268,254.56
  5. Step 5: Solve for x
    x = 862,268,254.56/48,732
  6. Step 6: Final answer
    x = 17,694.09

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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.