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Finding the Fourth Proportional to 33,534.32, 50,308.92 and 12,758

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Solution

The fourth proportional to 33,534.32, 50,308.92 and 12,758 is: 19,139.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,534.32 : 50,308.92 = 12,758 : x
  2. Step 2: Convert to fraction form
    33,534.32/50,308.92 = 12,758/x
  3. Step 3: Cross multiply
    33,534.32x = 50,308.92 × 12,758
  4. Step 4: Simplify right side
    33,534.32x = 641,841,201.36
  5. Step 5: Solve for x
    x = 641,841,201.36/33,534.32
  6. Step 6: Final answer
    x = 19,139.83

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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.