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Finding the Fourth Proportional to 27,807.44, 41,711.12 and 7,030.96

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Solution

The fourth proportional to 27,807.44, 41,711.12 and 7,030.96 is: 10,546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807.44 : 41,711.12 = 7,030.96 : x
  2. Step 2: Convert to fraction form
    27,807.44/41,711.12 = 7,030.96/x
  3. Step 3: Cross multiply
    27,807.44x = 41,711.12 × 7,030.96
  4. Step 4: Simplify right side
    27,807.44x = 293,269,216.28
  5. Step 5: Solve for x
    x = 293,269,216.28/27,807.44
  6. Step 6: Final answer
    x = 10,546.43

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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.