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Finding the Fourth Proportional to 182,991.72, 274,449.18 and 51,633

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Solution

The fourth proportional to 182,991.72, 274,449.18 and 51,633 is: 77,438.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,991.72 : 274,449.18 = 51,633 : x
  2. Step 2: Convert to fraction form
    182,991.72/274,449.18 = 51,633/x
  3. Step 3: Cross multiply
    182,991.72x = 274,449.18 × 51,633
  4. Step 4: Simplify right side
    182,991.72x = 14,170,634,510.94
  5. Step 5: Solve for x
    x = 14,170,634,510.94/182,991.72
  6. Step 6: Final answer
    x = 77,438.67

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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.