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Finding the Fourth Proportional to 51,627, 71,253.90 and 29,283.96

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Solution

The fourth proportional to 51,627, 71,253.90 and 29,283.96 is: 40,416.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,627 : 71,253.90 = 29,283.96 : x
  2. Step 2: Convert to fraction form
    51,627/71,253.90 = 29,283.96/x
  3. Step 3: Cross multiply
    51,627x = 71,253.90 × 29,283.96
  4. Step 4: Simplify right side
    51,627x = 2,086,596,357.44
  5. Step 5: Solve for x
    x = 2,086,596,357.44/51,627
  6. Step 6: Final answer
    x = 40,416.77

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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.