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Finding the Fourth Proportional to 45,874.88, 63,306.84 and 27,968.74

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Solution

The fourth proportional to 45,874.88, 63,306.84 and 27,968.74 is: 38,596.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,874.88 : 63,306.84 = 27,968.74 : x
  2. Step 2: Convert to fraction form
    45,874.88/63,306.84 = 27,968.74/x
  3. Step 3: Cross multiply
    45,874.88x = 63,306.84 × 27,968.74
  4. Step 4: Simplify right side
    45,874.88x = 1,770,612,548.18
  5. Step 5: Solve for x
    x = 1,770,612,548.18/45,874.88
  6. Step 6: Final answer
    x = 38,596.56

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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.