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Finding the Fourth Proportional to 57,066.40, 85,623.90 and 36,022.60

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Solution

The fourth proportional to 57,066.40, 85,623.90 and 36,022.60 is: 54,049.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,066.40 : 85,623.90 = 36,022.60 : x
  2. Step 2: Convert to fraction form
    57,066.40/85,623.90 = 36,022.60/x
  3. Step 3: Cross multiply
    57,066.40x = 85,623.90 × 36,022.60
  4. Step 4: Simplify right side
    57,066.40x = 3,084,395,500.14
  5. Step 5: Solve for x
    x = 3,084,395,500.14/57,066.40
  6. Step 6: Final answer
    x = 54,049.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.