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Finding the Fourth Proportional to 30,195.34, 41,708.78 and 22,981.42

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Solution

The fourth proportional to 30,195.34, 41,708.78 and 22,981.42 is: 31,744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,195.34 : 41,708.78 = 22,981.42 : x
  2. Step 2: Convert to fraction form
    30,195.34/41,708.78 = 22,981.42/x
  3. Step 3: Cross multiply
    30,195.34x = 41,708.78 × 22,981.42
  4. Step 4: Simplify right side
    30,195.34x = 958,527,014.28
  5. Step 5: Solve for x
    x = 958,527,014.28/30,195.34
  6. Step 6: Final answer
    x = 31,744.21

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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.