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Finding the Fourth Proportional to 106,808.14, 160,218.03 and 31,934.11

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Solution

The fourth proportional to 106,808.14, 160,218.03 and 31,934.11 is: 47,902.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,808.14 : 160,218.03 = 31,934.11 : x
  2. Step 2: Convert to fraction form
    106,808.14/160,218.03 = 31,934.11/x
  3. Step 3: Cross multiply
    106,808.14x = 160,218.03 × 31,934.11
  4. Step 4: Simplify right side
    106,808.14x = 5,116,420,194.00
  5. Step 5: Solve for x
    x = 5,116,420,194.00/106,808.14
  6. Step 6: Final answer
    x = 47,902.91

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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.