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Finding the Fourth Proportional to 48,305.62, 72,456 and 13,245.31

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Solution

The fourth proportional to 48,305.62, 72,456 and 13,245.31 is: 19,867.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,305.62 : 72,456 = 13,245.31 : x
  2. Step 2: Convert to fraction form
    48,305.62/72,456 = 13,245.31/x
  3. Step 3: Cross multiply
    48,305.62x = 72,456 × 13,245.31
  4. Step 4: Simplify right side
    48,305.62x = 959,702,181.36
  5. Step 5: Solve for x
    x = 959,702,181.36/48,305.62
  6. Step 6: Final answer
    x = 19,867.30

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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.