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Finding the Fourth Proportional to 73,988.96, 102,104.40 and 41,727

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Solution

The fourth proportional to 73,988.96, 102,104.40 and 41,727 is: 57,583.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,988.96 : 102,104.40 = 41,727 : x
  2. Step 2: Convert to fraction form
    73,988.96/102,104.40 = 41,727/x
  3. Step 3: Cross multiply
    73,988.96x = 102,104.40 × 41,727
  4. Step 4: Simplify right side
    73,988.96x = 4,260,510,298.80
  5. Step 5: Solve for x
    x = 4,260,510,298.80/73,988.96
  6. Step 6: Final answer
    x = 57,583.05

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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.