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Finding the Fourth Proportional to 51,093.76, 76,640.50 and 16,036.04

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Solution

The fourth proportional to 51,093.76, 76,640.50 and 16,036.04 is: 24,054.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,093.76 : 76,640.50 = 16,036.04 : x
  2. Step 2: Convert to fraction form
    51,093.76/76,640.50 = 16,036.04/x
  3. Step 3: Cross multiply
    51,093.76x = 76,640.50 × 16,036.04
  4. Step 4: Simplify right side
    51,093.76x = 1,229,010,123.62
  5. Step 5: Solve for x
    x = 1,229,010,123.62/51,093.76
  6. Step 6: Final answer
    x = 24,054.02

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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.