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Finding the Fourth Proportional to 20,850.71, 31,279.26 and 7,002.95

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Solution

The fourth proportional to 20,850.71, 31,279.26 and 7,002.95 is: 10,505.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,850.71 : 31,279.26 = 7,002.95 : x
  2. Step 2: Convert to fraction form
    20,850.71/31,279.26 = 7,002.95/x
  3. Step 3: Cross multiply
    20,850.71x = 31,279.26 × 7,002.95
  4. Step 4: Simplify right side
    20,850.71x = 219,047,093.82
  5. Step 5: Solve for x
    x = 219,047,093.82/20,850.71
  6. Step 6: Final answer
    x = 10,505.50

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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.