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Finding the Fourth Proportional to 51,059, 76,592.82 and 14,123

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Solution

The fourth proportional to 51,059, 76,592.82 and 14,123 is: 21,185.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,059 : 76,592.82 = 14,123 : x
  2. Step 2: Convert to fraction form
    51,059/76,592.82 = 14,123/x
  3. Step 3: Cross multiply
    51,059x = 76,592.82 × 14,123
  4. Step 4: Simplify right side
    51,059x = 1,081,720,396.86
  5. Step 5: Solve for x
    x = 1,081,720,396.86/51,059
  6. Step 6: Final answer
    x = 21,185.69

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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.