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Finding the Fourth Proportional to 97,086.96, 145,665.48 and 33,916.44

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Solution

The fourth proportional to 97,086.96, 145,665.48 and 33,916.44 is: 50,886.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,086.96 : 145,665.48 = 33,916.44 : x
  2. Step 2: Convert to fraction form
    97,086.96/145,665.48 = 33,916.44/x
  3. Step 3: Cross multiply
    97,086.96x = 145,665.48 × 33,916.44
  4. Step 4: Simplify right side
    97,086.96x = 4,940,454,512.49
  5. Step 5: Solve for x
    x = 4,940,454,512.49/97,086.96
  6. Step 6: Final answer
    x = 50,886.90

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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.