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Finding the Fourth Proportional to 51,551.38, 71,140.90 and 29,195.38

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Solution

The fourth proportional to 51,551.38, 71,140.90 and 29,195.38 is: 40,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,551.38 : 71,140.90 = 29,195.38 : x
  2. Step 2: Convert to fraction form
    51,551.38/71,140.90 = 29,195.38/x
  3. Step 3: Cross multiply
    51,551.38x = 71,140.90 × 29,195.38
  4. Step 4: Simplify right side
    51,551.38x = 2,076,985,253.34
  5. Step 5: Solve for x
    x = 2,076,985,253.34/51,551.38
  6. Step 6: Final answer
    x = 40,289.62

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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.