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Finding the Fourth Proportional to 45,311.52, 62,519.82 and 27,406.14

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Solution

The fourth proportional to 45,311.52, 62,519.82 and 27,406.14 is: 37,814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,311.52 : 62,519.82 = 27,406.14 : x
  2. Step 2: Convert to fraction form
    45,311.52/62,519.82 = 27,406.14/x
  3. Step 3: Cross multiply
    45,311.52x = 62,519.82 × 27,406.14
  4. Step 4: Simplify right side
    45,311.52x = 1,713,426,939.69
  5. Step 5: Solve for x
    x = 1,713,426,939.69/45,311.52
  6. Step 6: Final answer
    x = 37,814.38

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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.