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Finding the Fourth Proportional to 30,139.48, 45,211.38 and 10,149

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Solution

The fourth proportional to 30,139.48, 45,211.38 and 10,149 is: 15,224.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,139.48 : 45,211.38 = 10,149 : x
  2. Step 2: Convert to fraction form
    30,139.48/45,211.38 = 10,149/x
  3. Step 3: Cross multiply
    30,139.48x = 45,211.38 × 10,149
  4. Step 4: Simplify right side
    30,139.48x = 458,850,295.62
  5. Step 5: Solve for x
    x = 458,850,295.62/30,139.48
  6. Step 6: Final answer
    x = 15,224.23

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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.