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Finding the Fourth Proportional to 111,662.14, 167,399 and 48,434.66

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Solution

The fourth proportional to 111,662.14, 167,399 and 48,434.66 is: 72,611.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,662.14 : 167,399 = 48,434.66 : x
  2. Step 2: Convert to fraction form
    111,662.14/167,399 = 48,434.66/x
  3. Step 3: Cross multiply
    111,662.14x = 167,399 × 48,434.66
  4. Step 4: Simplify right side
    111,662.14x = 8,107,912,812.35
  5. Step 5: Solve for x
    x = 8,107,912,812.35/111,662.14
  6. Step 6: Final answer
    x = 72,611.12

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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.