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Finding the Fourth Proportional to 116,288, 174,433.68 and 33,182

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Solution

The fourth proportional to 116,288, 174,433.68 and 33,182 is: 49,773.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,288 : 174,433.68 = 33,182 : x
  2. Step 2: Convert to fraction form
    116,288/174,433.68 = 33,182/x
  3. Step 3: Cross multiply
    116,288x = 174,433.68 × 33,182
  4. Step 4: Simplify right side
    116,288x = 5,788,058,369.76
  5. Step 5: Solve for x
    x = 5,788,058,369.76/116,288
  6. Step 6: Final answer
    x = 49,773.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.