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Finding the Fourth Proportional to 45,995.96, 63,475.04 and 27,846.48

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Solution

The fourth proportional to 45,995.96, 63,475.04 and 27,846.48 is: 38,428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,995.96 : 63,475.04 = 27,846.48 : x
  2. Step 2: Convert to fraction form
    45,995.96/63,475.04 = 27,846.48/x
  3. Step 3: Cross multiply
    45,995.96x = 63,475.04 × 27,846.48
  4. Step 4: Simplify right side
    45,995.96x = 1,767,556,431.86
  5. Step 5: Solve for x
    x = 1,767,556,431.86/45,995.96
  6. Step 6: Final answer
    x = 38,428.51

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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.