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Finding the Fourth Proportional to 81,985.97, 122,701.16 and 50,416.02

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Solution

The fourth proportional to 81,985.97, 122,701.16 and 50,416.02 is: 75,453.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,985.97 : 122,701.16 = 50,416.02 : x
  2. Step 2: Convert to fraction form
    81,985.97/122,701.16 = 50,416.02/x
  3. Step 3: Cross multiply
    81,985.97x = 122,701.16 × 50,416.02
  4. Step 4: Simplify right side
    81,985.97x = 6,186,103,884.50
  5. Step 5: Solve for x
    x = 6,186,103,884.50/81,985.97
  6. Step 6: Final answer
    x = 75,453.21

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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.