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Finding the Fourth Proportional to 51,225, 76,867.74 and 21,640.92

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Solution

The fourth proportional to 51,225, 76,867.74 and 21,640.92 is: 32,474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,225 : 76,867.74 = 21,640.92 : x
  2. Step 2: Convert to fraction form
    51,225/76,867.74 = 21,640.92/x
  3. Step 3: Cross multiply
    51,225x = 76,867.74 × 21,640.92
  4. Step 4: Simplify right side
    51,225x = 1,663,488,611.92
  5. Step 5: Solve for x
    x = 1,663,488,611.92/51,225
  6. Step 6: Final answer
    x = 32,474.16

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