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Finding the Fourth Proportional to 38,206.31, 52,722.34 and 21,209.56

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Solution

The fourth proportional to 38,206.31, 52,722.34 and 21,209.56 is: 29,267.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,206.31 : 52,722.34 = 21,209.56 : x
  2. Step 2: Convert to fraction form
    38,206.31/52,722.34 = 21,209.56/x
  3. Step 3: Cross multiply
    38,206.31x = 52,722.34 × 21,209.56
  4. Step 4: Simplify right side
    38,206.31x = 1,118,217,633.57
  5. Step 5: Solve for x
    x = 1,118,217,633.57/38,206.31
  6. Step 6: Final answer
    x = 29,267.88

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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.