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Finding the Fourth Proportional to 30,122.69, 45,194.96 and 10,403.24

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Solution

The fourth proportional to 30,122.69, 45,194.96 and 10,403.24 is: 15,608.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,122.69 : 45,194.96 = 10,403.24 : x
  2. Step 2: Convert to fraction form
    30,122.69/45,194.96 = 10,403.24/x
  3. Step 3: Cross multiply
    30,122.69x = 45,194.96 × 10,403.24
  4. Step 4: Simplify right side
    30,122.69x = 470,173,815.70
  5. Step 5: Solve for x
    x = 470,173,815.70/30,122.69
  6. Step 6: Final answer
    x = 15,608.63

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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.