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Finding the Fourth Proportional to 51,488.94, 77,087.76 and 32,722.44

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Solution

The fourth proportional to 51,488.94, 77,087.76 and 32,722.44 is: 48,991.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,488.94 : 77,087.76 = 32,722.44 : x
  2. Step 2: Convert to fraction form
    51,488.94/77,087.76 = 32,722.44/x
  3. Step 3: Cross multiply
    51,488.94x = 77,087.76 × 32,722.44
  4. Step 4: Simplify right side
    51,488.94x = 2,522,499,601.33
  5. Step 5: Solve for x
    x = 2,522,499,601.33/51,488.94
  6. Step 6: Final answer
    x = 48,991.10

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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.