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Finding the Fourth Proportional to 34,207.74, 47,221.11 and 20,783.34

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Solution

The fourth proportional to 34,207.74, 47,221.11 and 20,783.34 is: 28,689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,207.74 : 47,221.11 = 20,783.34 : x
  2. Step 2: Convert to fraction form
    34,207.74/47,221.11 = 20,783.34/x
  3. Step 3: Cross multiply
    34,207.74x = 47,221.11 × 20,783.34
  4. Step 4: Simplify right side
    34,207.74x = 981,412,384.31
  5. Step 5: Solve for x
    x = 981,412,384.31/34,207.74
  6. Step 6: Final answer
    x = 28,689.78

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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.