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Finding the Fourth Proportional to 50,731.70, 76,113.78 and 21,152.66

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Solution

The fourth proportional to 50,731.70, 76,113.78 and 21,152.66 is: 31,735.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,731.70 : 76,113.78 = 21,152.66 : x
  2. Step 2: Convert to fraction form
    50,731.70/76,113.78 = 21,152.66/x
  3. Step 3: Cross multiply
    50,731.70x = 76,113.78 × 21,152.66
  4. Step 4: Simplify right side
    50,731.70x = 1,610,008,909.65
  5. Step 5: Solve for x
    x = 1,610,008,909.65/50,731.70
  6. Step 6: Final answer
    x = 31,735.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.