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Finding the Fourth Proportional to 45,782.88, 63,181.20 and 27,633.62

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Solution

The fourth proportional to 45,782.88, 63,181.20 and 27,633.62 is: 38,134.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,782.88 : 63,181.20 = 27,633.62 : x
  2. Step 2: Convert to fraction form
    45,782.88/63,181.20 = 27,633.62/x
  3. Step 3: Cross multiply
    45,782.88x = 63,181.20 × 27,633.62
  4. Step 4: Simplify right side
    45,782.88x = 1,745,925,498.98
  5. Step 5: Solve for x
    x = 1,745,925,498.98/45,782.88
  6. Step 6: Final answer
    x = 38,134.90

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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.