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Finding the Fourth Proportional to 30,586.41, 42,221.25 and 21,680.46

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Solution

The fourth proportional to 30,586.41, 42,221.25 and 21,680.46 is: 29,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,586.41 : 42,221.25 = 21,680.46 : x
  2. Step 2: Convert to fraction form
    30,586.41/42,221.25 = 21,680.46/x
  3. Step 3: Cross multiply
    30,586.41x = 42,221.25 × 21,680.46
  4. Step 4: Simplify right side
    30,586.41x = 915,376,121.78
  5. Step 5: Solve for x
    x = 915,376,121.78/30,586.41
  6. Step 6: Final answer
    x = 29,927.54

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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.