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Finding the Fourth Proportional to 32,786.40, 49,179.60 and 9,414.72

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Solution

The fourth proportional to 32,786.40, 49,179.60 and 9,414.72 is: 14,122.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,786.40 : 49,179.60 = 9,414.72 : x
  2. Step 2: Convert to fraction form
    32,786.40/49,179.60 = 9,414.72/x
  3. Step 3: Cross multiply
    32,786.40x = 49,179.60 × 9,414.72
  4. Step 4: Simplify right side
    32,786.40x = 463,012,163.71
  5. Step 5: Solve for x
    x = 463,012,163.71/32,786.40
  6. Step 6: Final answer
    x = 14,122.08

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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.