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Finding the Fourth Proportional to 55,196.40, 82,769.70 and 15,744.14

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Solution

The fourth proportional to 55,196.40, 82,769.70 and 15,744.14 is: 23,609.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,196.40 : 82,769.70 = 15,744.14 : x
  2. Step 2: Convert to fraction form
    55,196.40/82,769.70 = 15,744.14/x
  3. Step 3: Cross multiply
    55,196.40x = 82,769.70 × 15,744.14
  4. Step 4: Simplify right side
    55,196.40x = 1,303,137,744.56
  5. Step 5: Solve for x
    x = 1,303,137,744.56/55,196.40
  6. Step 6: Final answer
    x = 23,609.11

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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.