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Finding the Fourth Proportional to 32,658.84, 48,989.88 and 9,286.92

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Solution

The fourth proportional to 32,658.84, 48,989.88 and 9,286.92 is: 13,930.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,658.84 : 48,989.88 = 9,286.92 : x
  2. Step 2: Convert to fraction form
    32,658.84/48,989.88 = 9,286.92/x
  3. Step 3: Cross multiply
    32,658.84x = 48,989.88 × 9,286.92
  4. Step 4: Simplify right side
    32,658.84x = 454,965,096.37
  5. Step 5: Solve for x
    x = 454,965,096.37/32,658.84
  6. Step 6: Final answer
    x = 13,930.84

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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.