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Finding the Fourth Proportional to 51,676.38, 71,261.57 and 48,866.09

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Solution

The fourth proportional to 51,676.38, 71,261.57 and 48,866.09 is: 67,386.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,676.38 : 71,261.57 = 48,866.09 : x
  2. Step 2: Convert to fraction form
    51,676.38/71,261.57 = 48,866.09/x
  3. Step 3: Cross multiply
    51,676.38x = 71,261.57 × 48,866.09
  4. Step 4: Simplify right side
    51,676.38x = 3,482,274,059.02
  5. Step 5: Solve for x
    x = 3,482,274,059.02/51,676.38
  6. Step 6: Final answer
    x = 67,386.18

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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.