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Finding the Fourth Proportional to 65,238.75, 97,830.44 and 23,129.43

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Solution

The fourth proportional to 65,238.75, 97,830.44 and 23,129.43 is: 34,684.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,238.75 : 97,830.44 = 23,129.43 : x
  2. Step 2: Convert to fraction form
    65,238.75/97,830.44 = 23,129.43/x
  3. Step 3: Cross multiply
    65,238.75x = 97,830.44 × 23,129.43
  4. Step 4: Simplify right side
    65,238.75x = 2,262,762,198.20
  5. Step 5: Solve for x
    x = 2,262,762,198.20/65,238.75
  6. Step 6: Final answer
    x = 34,684.33

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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.