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Finding the Fourth Proportional to 20,756.76, 31,131.79 and 5,962.31

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Solution

The fourth proportional to 20,756.76, 31,131.79 and 5,962.31 is: 8,942.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,756.76 : 31,131.79 = 5,962.31 : x
  2. Step 2: Convert to fraction form
    20,756.76/31,131.79 = 5,962.31/x
  3. Step 3: Cross multiply
    20,756.76x = 31,131.79 × 5,962.31
  4. Step 4: Simplify right side
    20,756.76x = 185,617,362.55
  5. Step 5: Solve for x
    x = 185,617,362.55/20,756.76
  6. Step 6: Final answer
    x = 8,942.50

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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.