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Finding the Fourth Proportional to 52,344.38, 72,234.70 and 28,471.05

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Solution

The fourth proportional to 52,344.38, 72,234.70 and 28,471.05 is: 39,289.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,344.38 : 72,234.70 = 28,471.05 : x
  2. Step 2: Convert to fraction form
    52,344.38/72,234.70 = 28,471.05/x
  3. Step 3: Cross multiply
    52,344.38x = 72,234.70 × 28,471.05
  4. Step 4: Simplify right side
    52,344.38x = 2,056,597,844.41
  5. Step 5: Solve for x
    x = 2,056,597,844.41/52,344.38
  6. Step 6: Final answer
    x = 39,289.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.