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Finding the Fourth Proportional to 111,661.40, 167,497.14 and 31,705.04

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Solution

The fourth proportional to 111,661.40, 167,497.14 and 31,705.04 is: 47,558.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,661.40 : 167,497.14 = 31,705.04 : x
  2. Step 2: Convert to fraction form
    111,661.40/167,497.14 = 31,705.04/x
  3. Step 3: Cross multiply
    111,661.40x = 167,497.14 × 31,705.04
  4. Step 4: Simplify right side
    111,661.40x = 5,310,503,523.59
  5. Step 5: Solve for x
    x = 5,310,503,523.59/111,661.40
  6. Step 6: Final answer
    x = 47,558.99

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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.