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Finding the Fourth Proportional to 97,318.60, 145,982.70 and 50,662.60

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Solution

The fourth proportional to 97,318.60, 145,982.70 and 50,662.60 is: 75,996.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,318.60 : 145,982.70 = 50,662.60 : x
  2. Step 2: Convert to fraction form
    97,318.60/145,982.70 = 50,662.60/x
  3. Step 3: Cross multiply
    97,318.60x = 145,982.70 × 50,662.60
  4. Step 4: Simplify right side
    97,318.60x = 7,395,863,137.02
  5. Step 5: Solve for x
    x = 7,395,863,137.02/97,318.60
  6. Step 6: Final answer
    x = 75,996.40

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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.