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Finding the Fourth Proportional to 105,514.92, 158,287.92 and 30,625.32

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Solution

The fourth proportional to 105,514.92, 158,287.92 and 30,625.32 is: 45,942.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,514.92 : 158,287.92 = 30,625.32 : x
  2. Step 2: Convert to fraction form
    105,514.92/158,287.92 = 30,625.32/x
  3. Step 3: Cross multiply
    105,514.92x = 158,287.92 × 30,625.32
  4. Step 4: Simplify right side
    105,514.92x = 4,847,618,202.13
  5. Step 5: Solve for x
    x = 4,847,618,202.13/105,514.92
  6. Step 6: Final answer
    x = 45,942.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.