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Finding the Fourth Proportional to 102,578.44, 153,934.93 and 36,016.85

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Solution

The fourth proportional to 102,578.44, 153,934.93 and 36,016.85 is: 54,048.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,578.44 : 153,934.93 = 36,016.85 : x
  2. Step 2: Convert to fraction form
    102,578.44/153,934.93 = 36,016.85/x
  3. Step 3: Cross multiply
    102,578.44x = 153,934.93 × 36,016.85
  4. Step 4: Simplify right side
    102,578.44x = 5,544,251,283.57
  5. Step 5: Solve for x
    x = 5,544,251,283.57/102,578.44
  6. Step 6: Final answer
    x = 54,048.90

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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.