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Finding the Fourth Proportional to 51,811.63, 77,717.43 and 18,529.67

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Solution

The fourth proportional to 51,811.63, 77,717.43 and 18,529.67 is: 27,794.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,811.63 : 77,717.43 = 18,529.67 : x
  2. Step 2: Convert to fraction form
    51,811.63/77,717.43 = 18,529.67/x
  3. Step 3: Cross multiply
    51,811.63x = 77,717.43 × 18,529.67
  4. Step 4: Simplify right side
    51,811.63x = 1,440,078,525.44
  5. Step 5: Solve for x
    x = 1,440,078,525.44/51,811.63
  6. Step 6: Final answer
    x = 27,794.50

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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.