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Finding the Fourth Proportional to 29,298.16, 43,949.94 and 9,576.82

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Solution

The fourth proportional to 29,298.16, 43,949.94 and 9,576.82 is: 14,366.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,298.16 : 43,949.94 = 9,576.82 : x
  2. Step 2: Convert to fraction form
    29,298.16/43,949.94 = 9,576.82/x
  3. Step 3: Cross multiply
    29,298.16x = 43,949.94 × 9,576.82
  4. Step 4: Simplify right side
    29,298.16x = 420,900,664.39
  5. Step 5: Solve for x
    x = 420,900,664.39/29,298.16
  6. Step 6: Final answer
    x = 14,366.11

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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.