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Finding the Fourth Proportional to 48,383.30, 72,538.01 and 27,347.09

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Solution

The fourth proportional to 48,383.30, 72,538.01 and 27,347.09 is: 40,999.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,383.30 : 72,538.01 = 27,347.09 : x
  2. Step 2: Convert to fraction form
    48,383.30/72,538.01 = 27,347.09/x
  3. Step 3: Cross multiply
    48,383.30x = 72,538.01 × 27,347.09
  4. Step 4: Simplify right side
    48,383.30x = 1,983,703,487.89
  5. Step 5: Solve for x
    x = 1,983,703,487.89/48,383.30
  6. Step 6: Final answer
    x = 40,999.76

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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.