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Finding the Fourth Proportional to 105,934.80, 158,902.04 and 27,049.08

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Solution

The fourth proportional to 105,934.80, 158,902.04 and 27,049.08 is: 40,573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,934.80 : 158,902.04 = 27,049.08 : x
  2. Step 2: Convert to fraction form
    105,934.80/158,902.04 = 27,049.08/x
  3. Step 3: Cross multiply
    105,934.80x = 158,902.04 × 27,049.08
  4. Step 4: Simplify right side
    105,934.80x = 4,298,153,992.12
  5. Step 5: Solve for x
    x = 4,298,153,992.12/105,934.80
  6. Step 6: Final answer
    x = 40,573.58

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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.