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Finding the Fourth Proportional to 20,037.47, 30,057.02 and 8,942.09

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Solution

The fourth proportional to 20,037.47, 30,057.02 and 8,942.09 is: 13,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,037.47 : 30,057.02 = 8,942.09 : x
  2. Step 2: Convert to fraction form
    20,037.47/30,057.02 = 8,942.09/x
  3. Step 3: Cross multiply
    20,037.47x = 30,057.02 × 8,942.09
  4. Step 4: Simplify right side
    20,037.47x = 268,772,577.97
  5. Step 5: Solve for x
    x = 268,772,577.97/20,037.47
  6. Step 6: Final answer
    x = 13,413.50

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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.