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Finding the Fourth Proportional to 32,606.82, 48,891.87 and 10,414.98

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Solution

The fourth proportional to 32,606.82, 48,891.87 and 10,414.98 is: 15,616.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,606.82 : 48,891.87 = 10,414.98 : x
  2. Step 2: Convert to fraction form
    32,606.82/48,891.87 = 10,414.98/x
  3. Step 3: Cross multiply
    32,606.82x = 48,891.87 × 10,414.98
  4. Step 4: Simplify right side
    32,606.82x = 509,207,848.21
  5. Step 5: Solve for x
    x = 509,207,848.21/32,606.82
  6. Step 6: Final answer
    x = 15,616.61

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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.