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Finding the Fourth Proportional to 32,756.84, 49,146.78 and 14,286.44

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Solution

The fourth proportional to 32,756.84, 49,146.78 and 14,286.44 is: 21,434.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,756.84 : 49,146.78 = 14,286.44 : x
  2. Step 2: Convert to fraction form
    32,756.84/49,146.78 = 14,286.44/x
  3. Step 3: Cross multiply
    32,756.84x = 49,146.78 × 14,286.44
  4. Step 4: Simplify right side
    32,756.84x = 702,132,523.66
  5. Step 5: Solve for x
    x = 702,132,523.66/32,756.84
  6. Step 6: Final answer
    x = 21,434.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.