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Finding the Fourth Proportional to 50,194.79, 75,284.11 and 14,647.77

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Solution

The fourth proportional to 50,194.79, 75,284.11 and 14,647.77 is: 21,969.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,194.79 : 75,284.11 = 14,647.77 : x
  2. Step 2: Convert to fraction form
    50,194.79/75,284.11 = 14,647.77/x
  3. Step 3: Cross multiply
    50,194.79x = 75,284.11 × 14,647.77
  4. Step 4: Simplify right side
    50,194.79x = 1,102,743,878.28
  5. Step 5: Solve for x
    x = 1,102,743,878.28/50,194.79
  6. Step 6: Final answer
    x = 21,969.29

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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.