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Finding the Fourth Proportional to 32,190.66, 48,286.02 and 18,310.50

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Solution

The fourth proportional to 32,190.66, 48,286.02 and 18,310.50 is: 27,465.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,190.66 : 48,286.02 = 18,310.50 : x
  2. Step 2: Convert to fraction form
    32,190.66/48,286.02 = 18,310.50/x
  3. Step 3: Cross multiply
    32,190.66x = 48,286.02 × 18,310.50
  4. Step 4: Simplify right side
    32,190.66x = 884,141,169.21
  5. Step 5: Solve for x
    x = 884,141,169.21/32,190.66
  6. Step 6: Final answer
    x = 27,465.77

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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.