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Finding the Fourth Proportional to 55,494, 83,234.88 and 13,941

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Solution

The fourth proportional to 55,494, 83,234.88 and 13,941 is: 20,909.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,494 : 83,234.88 = 13,941 : x
  2. Step 2: Convert to fraction form
    55,494/83,234.88 = 13,941/x
  3. Step 3: Cross multiply
    55,494x = 83,234.88 × 13,941
  4. Step 4: Simplify right side
    55,494x = 1,160,377,462.08
  5. Step 5: Solve for x
    x = 1,160,377,462.08/55,494
  6. Step 6: Final answer
    x = 20,909.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.