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Finding the Fourth Proportional to 34,632.81, 51,944.49 and 12,443.00

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Solution

The fourth proportional to 34,632.81, 51,944.49 and 12,443.00 is: 18,662.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,632.81 : 51,944.49 = 12,443.00 : x
  2. Step 2: Convert to fraction form
    34,632.81/51,944.49 = 12,443.00/x
  3. Step 3: Cross multiply
    34,632.81x = 51,944.49 × 12,443.00
  4. Step 4: Simplify right side
    34,632.81x = 646,345,029.35
  5. Step 5: Solve for x
    x = 646,345,029.35/34,632.81
  6. Step 6: Final answer
    x = 18,662.79

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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.