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Finding the Fourth Proportional to 51,146.85, 76,732.35 and 16,086.50

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Solution

The fourth proportional to 51,146.85, 76,732.35 and 16,086.50 is: 24,133.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,146.85 : 76,732.35 = 16,086.50 : x
  2. Step 2: Convert to fraction form
    51,146.85/76,732.35 = 16,086.50/x
  3. Step 3: Cross multiply
    51,146.85x = 76,732.35 × 16,086.50
  4. Step 4: Simplify right side
    51,146.85x = 1,234,355,223.65
  5. Step 5: Solve for x
    x = 1,234,355,223.65/51,146.85
  6. Step 6: Final answer
    x = 24,133.55

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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.