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Finding the Fourth Proportional to 20,768.41, 31,152.11 and 5,775.50

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Solution

The fourth proportional to 20,768.41, 31,152.11 and 5,775.50 is: 8,663.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,768.41 : 31,152.11 = 5,775.50 : x
  2. Step 2: Convert to fraction form
    20,768.41/31,152.11 = 5,775.50/x
  3. Step 3: Cross multiply
    20,768.41x = 31,152.11 × 5,775.50
  4. Step 4: Simplify right side
    20,768.41x = 179,919,068.43
  5. Step 5: Solve for x
    x = 179,919,068.43/20,768.41
  6. Step 6: Final answer
    x = 8,663.11

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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.