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Finding the Fourth Proportional to 34,141, 51,215.82 and 9,517

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Solution

The fourth proportional to 34,141, 51,215.82 and 9,517 is: 14,276.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,141 : 51,215.82 = 9,517 : x
  2. Step 2: Convert to fraction form
    34,141/51,215.82 = 9,517/x
  3. Step 3: Cross multiply
    34,141x = 51,215.82 × 9,517
  4. Step 4: Simplify right side
    34,141x = 487,420,958.94
  5. Step 5: Solve for x
    x = 487,420,958.94/34,141
  6. Step 6: Final answer
    x = 14,276.70

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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.