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Finding the Fourth Proportional to 45,993.96, 63,472.28 and 27,844.48

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Solution

The fourth proportional to 45,993.96, 63,472.28 and 27,844.48 is: 38,425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,993.96 : 63,472.28 = 27,844.48 : x
  2. Step 2: Convert to fraction form
    45,993.96/63,472.28 = 27,844.48/x
  3. Step 3: Cross multiply
    45,993.96x = 63,472.28 × 27,844.48
  4. Step 4: Simplify right side
    45,993.96x = 1,767,352,631.01
  5. Step 5: Solve for x
    x = 1,767,352,631.01/45,993.96
  6. Step 6: Final answer
    x = 38,425.75

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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.