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Finding the Fourth Proportional to 34,100.34, 47,057.75 and 18,992.96

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Solution

The fourth proportional to 34,100.34, 47,057.75 and 18,992.96 is: 26,209.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,100.34 : 47,057.75 = 18,992.96 : x
  2. Step 2: Convert to fraction form
    34,100.34/47,057.75 = 18,992.96/x
  3. Step 3: Cross multiply
    34,100.34x = 47,057.75 × 18,992.96
  4. Step 4: Simplify right side
    34,100.34x = 893,765,721.82
  5. Step 5: Solve for x
    x = 893,765,721.82/34,100.34
  6. Step 6: Final answer
    x = 26,209.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.