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Finding the Fourth Proportional to 65,201.20, 97,801.80 and 31,942.60

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Solution

The fourth proportional to 65,201.20, 97,801.80 and 31,942.60 is: 47,913.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,201.20 : 97,801.80 = 31,942.60 : x
  2. Step 2: Convert to fraction form
    65,201.20/97,801.80 = 31,942.60/x
  3. Step 3: Cross multiply
    65,201.20x = 97,801.80 × 31,942.60
  4. Step 4: Simplify right side
    65,201.20x = 3,124,043,776.68
  5. Step 5: Solve for x
    x = 3,124,043,776.68/65,201.20
  6. Step 6: Final answer
    x = 47,913.90

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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.