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Finding the Fourth Proportional to 28,015, 42,023.31 and 7,238.50

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Solution

The fourth proportional to 28,015, 42,023.31 and 7,238.50 is: 10,857.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,015 : 42,023.31 = 7,238.50 : x
  2. Step 2: Convert to fraction form
    28,015/42,023.31 = 7,238.50/x
  3. Step 3: Cross multiply
    28,015x = 42,023.31 × 7,238.50
  4. Step 4: Simplify right side
    28,015x = 304,185,729.44
  5. Step 5: Solve for x
    x = 304,185,729.44/28,015
  6. Step 6: Final answer
    x = 10,857.96

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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.