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Finding the Fourth Proportional to 111,920.88, 167,887.90 and 31,952.70

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Solution

The fourth proportional to 111,920.88, 167,887.90 and 31,952.70 is: 47,930.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,920.88 : 167,887.90 = 31,952.70 : x
  2. Step 2: Convert to fraction form
    111,920.88/167,887.90 = 31,952.70/x
  3. Step 3: Cross multiply
    111,920.88x = 167,887.90 × 31,952.70
  4. Step 4: Simplify right side
    111,920.88x = 5,364,471,702.33
  5. Step 5: Solve for x
    x = 5,364,471,702.33/111,920.88
  6. Step 6: Final answer
    x = 47,930.93

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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.