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Finding the Fourth Proportional to 54,199.40, 81,212.70 and 40,202.60

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Solution

The fourth proportional to 54,199.40, 81,212.70 and 40,202.60 is: 60,239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,199.40 : 81,212.70 = 40,202.60 : x
  2. Step 2: Convert to fraction form
    54,199.40/81,212.70 = 40,202.60/x
  3. Step 3: Cross multiply
    54,199.40x = 81,212.70 × 40,202.60
  4. Step 4: Simplify right side
    54,199.40x = 3,264,961,693.02
  5. Step 5: Solve for x
    x = 3,264,961,693.02/54,199.40
  6. Step 6: Final answer
    x = 60,239.81

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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.