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Finding the Fourth Proportional to 34,651.76, 51,982.42 and 12,461

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Solution

The fourth proportional to 34,651.76, 51,982.42 and 12,461 is: 18,693.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,651.76 : 51,982.42 = 12,461 : x
  2. Step 2: Convert to fraction form
    34,651.76/51,982.42 = 12,461/x
  3. Step 3: Cross multiply
    34,651.76x = 51,982.42 × 12,461
  4. Step 4: Simplify right side
    34,651.76x = 647,752,935.62
  5. Step 5: Solve for x
    x = 647,752,935.62/34,651.76
  6. Step 6: Final answer
    x = 18,693.22

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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.