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Finding the Fourth Proportional to 51,424.70, 76,923.72 and 48,275.42

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Solution

The fourth proportional to 51,424.70, 76,923.72 and 48,275.42 is: 72,212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,424.70 : 76,923.72 = 48,275.42 : x
  2. Step 2: Convert to fraction form
    51,424.70/76,923.72 = 48,275.42/x
  3. Step 3: Cross multiply
    51,424.70x = 76,923.72 × 48,275.42
  4. Step 4: Simplify right side
    51,424.70x = 3,713,524,890.96
  5. Step 5: Solve for x
    x = 3,713,524,890.96/51,424.70
  6. Step 6: Final answer
    x = 72,212.86

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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.