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Finding the Fourth Proportional to 30,209.76, 41,701.10 and 20,134.53

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Solution

The fourth proportional to 30,209.76, 41,701.10 and 20,134.53 is: 27,793.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,209.76 : 41,701.10 = 20,134.53 : x
  2. Step 2: Convert to fraction form
    30,209.76/41,701.10 = 20,134.53/x
  3. Step 3: Cross multiply
    30,209.76x = 41,701.10 × 20,134.53
  4. Step 4: Simplify right side
    30,209.76x = 839,632,048.98
  5. Step 5: Solve for x
    x = 839,632,048.98/30,209.76
  6. Step 6: Final answer
    x = 27,793.40

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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.