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Finding the Fourth Proportional to 51,206.70, 76,858.65 and 31,523.70

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Solution

The fourth proportional to 51,206.70, 76,858.65 and 31,523.70 is: 47,315.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,206.70 : 76,858.65 = 31,523.70 : x
  2. Step 2: Convert to fraction form
    51,206.70/76,858.65 = 31,523.70/x
  3. Step 3: Cross multiply
    51,206.70x = 76,858.65 × 31,523.70
  4. Step 4: Simplify right side
    51,206.70x = 2,422,869,025.01
  5. Step 5: Solve for x
    x = 2,422,869,025.01/51,206.70
  6. Step 6: Final answer
    x = 47,315.47

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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.