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Finding the Fourth Proportional to 32,951.08, 49,414.02 and 16,305.40

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Solution

The fourth proportional to 32,951.08, 49,414.02 and 16,305.40 is: 24,451.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,951.08 : 49,414.02 = 16,305.40 : x
  2. Step 2: Convert to fraction form
    32,951.08/49,414.02 = 16,305.40/x
  3. Step 3: Cross multiply
    32,951.08x = 49,414.02 × 16,305.40
  4. Step 4: Simplify right side
    32,951.08x = 805,715,361.71
  5. Step 5: Solve for x
    x = 805,715,361.71/32,951.08
  6. Step 6: Final answer
    x = 24,451.87

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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.