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Finding the Fourth Proportional to 80,412.50, 110,969.34 and 46,884.98

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Solution

The fourth proportional to 80,412.50, 110,969.34 and 46,884.98 is: 64,701.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,412.50 : 110,969.34 = 46,884.98 : x
  2. Step 2: Convert to fraction form
    80,412.50/110,969.34 = 46,884.98/x
  3. Step 3: Cross multiply
    80,412.50x = 110,969.34 × 46,884.98
  4. Step 4: Simplify right side
    80,412.50x = 5,202,795,286.51
  5. Step 5: Solve for x
    x = 5,202,795,286.51/80,412.50
  6. Step 6: Final answer
    x = 64,701.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.