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Finding the Fourth Proportional to 51,676.80, 71,314.73 and 29,020.69

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Solution

The fourth proportional to 51,676.80, 71,314.73 and 29,020.69 is: 40,048.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,676.80 : 71,314.73 = 29,020.69 : x
  2. Step 2: Convert to fraction form
    51,676.80/71,314.73 = 29,020.69/x
  3. Step 3: Cross multiply
    51,676.80x = 71,314.73 × 29,020.69
  4. Step 4: Simplify right side
    51,676.80x = 2,069,602,526.66
  5. Step 5: Solve for x
    x = 2,069,602,526.66/51,676.80
  6. Step 6: Final answer
    x = 40,048.97

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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.