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Finding the Fourth Proportional to 50,461.84, 75,727.90 and 20,879.83

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Solution

The fourth proportional to 50,461.84, 75,727.90 and 20,879.83 is: 31,334.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,461.84 : 75,727.90 = 20,879.83 : x
  2. Step 2: Convert to fraction form
    50,461.84/75,727.90 = 20,879.83/x
  3. Step 3: Cross multiply
    50,461.84x = 75,727.90 × 20,879.83
  4. Step 4: Simplify right side
    50,461.84x = 1,581,185,678.26
  5. Step 5: Solve for x
    x = 1,581,185,678.26/50,461.84
  6. Step 6: Final answer
    x = 31,334.29

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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.