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Finding the Fourth Proportional to 30,381.14, 41,920.95 and 20,293.40

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Solution

The fourth proportional to 30,381.14, 41,920.95 and 20,293.40 is: 28,001.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,381.14 : 41,920.95 = 20,293.40 : x
  2. Step 2: Convert to fraction form
    30,381.14/41,920.95 = 20,293.40/x
  3. Step 3: Cross multiply
    30,381.14x = 41,920.95 × 20,293.40
  4. Step 4: Simplify right side
    30,381.14x = 850,718,606.73
  5. Step 5: Solve for x
    x = 850,718,606.73/30,381.14
  6. Step 6: Final answer
    x = 28,001.54

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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.