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Finding the Fourth Proportional to 43,782.75, 65,644.11 and 15,702.20

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Solution

The fourth proportional to 43,782.75, 65,644.11 and 15,702.20 is: 23,542.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,782.75 : 65,644.11 = 15,702.20 : x
  2. Step 2: Convert to fraction form
    43,782.75/65,644.11 = 15,702.20/x
  3. Step 3: Cross multiply
    43,782.75x = 65,644.11 × 15,702.20
  4. Step 4: Simplify right side
    43,782.75x = 1,030,756,537.31
  5. Step 5: Solve for x
    x = 1,030,756,537.31/43,782.75
  6. Step 6: Final answer
    x = 23,542.53

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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.