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Finding the Fourth Proportional to 55,300.11, 82,950.13 and 13,747.11

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Solution

The fourth proportional to 55,300.11, 82,950.13 and 13,747.11 is: 20,620.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,300.11 : 82,950.13 = 13,747.11 : x
  2. Step 2: Convert to fraction form
    55,300.11/82,950.13 = 13,747.11/x
  3. Step 3: Cross multiply
    55,300.11x = 82,950.13 × 13,747.11
  4. Step 4: Simplify right side
    55,300.11x = 1,140,324,561.62
  5. Step 5: Solve for x
    x = 1,140,324,561.62/55,300.11
  6. Step 6: Final answer
    x = 20,620.66

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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.