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Finding the Fourth Proportional to 97,656.68, 146,464.50 and 27,517.16

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Solution

The fourth proportional to 97,656.68, 146,464.50 and 27,517.16 is: 41,269.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,656.68 : 146,464.50 = 27,517.16 : x
  2. Step 2: Convert to fraction form
    97,656.68/146,464.50 = 27,517.16/x
  3. Step 3: Cross multiply
    97,656.68x = 146,464.50 × 27,517.16
  4. Step 4: Simplify right side
    97,656.68x = 4,030,287,080.82
  5. Step 5: Solve for x
    x = 4,030,287,080.82/97,656.68
  6. Step 6: Final answer
    x = 41,269.96

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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.