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Finding the Fourth Proportional to 49,406.49, 74,112.77 and 19,820.50

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Solution

The fourth proportional to 49,406.49, 74,112.77 and 19,820.50 is: 29,731.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,406.49 : 74,112.77 = 19,820.50 : x
  2. Step 2: Convert to fraction form
    49,406.49/74,112.77 = 19,820.50/x
  3. Step 3: Cross multiply
    49,406.49x = 74,112.77 × 19,820.50
  4. Step 4: Simplify right side
    49,406.49x = 1,468,952,022.05
  5. Step 5: Solve for x
    x = 1,468,952,022.05/49,406.49
  6. Step 6: Final answer
    x = 29,731.96

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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.