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Finding the Fourth Proportional to 65,238.60, 97,857.90 and 34,134.60

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Solution

The fourth proportional to 65,238.60, 97,857.90 and 34,134.60 is: 51,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,238.60 : 97,857.90 = 34,134.60 : x
  2. Step 2: Convert to fraction form
    65,238.60/97,857.90 = 34,134.60/x
  3. Step 3: Cross multiply
    65,238.60x = 97,857.90 × 34,134.60
  4. Step 4: Simplify right side
    65,238.60x = 3,340,340,273.34
  5. Step 5: Solve for x
    x = 3,340,340,273.34/65,238.60
  6. Step 6: Final answer
    x = 51,201.90

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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.