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Finding the Fourth Proportional to 51,091.95, 76,532.42 and 29,968.42

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Solution

The fourth proportional to 51,091.95, 76,532.42 and 29,968.42 is: 44,890.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,091.95 : 76,532.42 = 29,968.42 : x
  2. Step 2: Convert to fraction form
    51,091.95/76,532.42 = 29,968.42/x
  3. Step 3: Cross multiply
    51,091.95x = 76,532.42 × 29,968.42
  4. Step 4: Simplify right side
    51,091.95x = 2,293,555,706.18
  5. Step 5: Solve for x
    x = 2,293,555,706.18/51,091.95
  6. Step 6: Final answer
    x = 44,890.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.