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Finding the Fourth Proportional to 83,954.92, 115,857.64 and 48,154.56

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Solution

The fourth proportional to 83,954.92, 115,857.64 and 48,154.56 is: 66,453.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,954.92 : 115,857.64 = 48,154.56 : x
  2. Step 2: Convert to fraction form
    83,954.92/115,857.64 = 48,154.56/x
  3. Step 3: Cross multiply
    83,954.92x = 115,857.64 × 48,154.56
  4. Step 4: Simplify right side
    83,954.92x = 5,579,073,676.84
  5. Step 5: Solve for x
    x = 5,579,073,676.84/83,954.92
  6. Step 6: Final answer
    x = 66,453.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.