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Finding the Fourth Proportional to 97,383.45, 146,083.68 and 27,262.98

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Solution

The fourth proportional to 97,383.45, 146,083.68 and 27,262.98 is: 40,896.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,383.45 : 146,083.68 = 27,262.98 : x
  2. Step 2: Convert to fraction form
    97,383.45/146,083.68 = 27,262.98/x
  3. Step 3: Cross multiply
    97,383.45x = 146,083.68 × 27,262.98
  4. Step 4: Simplify right side
    97,383.45x = 3,982,676,446.17
  5. Step 5: Solve for x
    x = 3,982,676,446.17/97,383.45
  6. Step 6: Final answer
    x = 40,896.85

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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.