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Finding the Fourth Proportional to 34,184.57, 47,160.68 and 20,753.69

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Solution

The fourth proportional to 34,184.57, 47,160.68 and 20,753.69 is: 28,631.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,184.57 : 47,160.68 = 20,753.69 : x
  2. Step 2: Convert to fraction form
    34,184.57/47,160.68 = 20,753.69/x
  3. Step 3: Cross multiply
    34,184.57x = 47,160.68 × 20,753.69
  4. Step 4: Simplify right side
    34,184.57x = 978,757,793.34
  5. Step 5: Solve for x
    x = 978,757,793.34/34,184.57
  6. Step 6: Final answer
    x = 28,631.57

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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.